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3878888832 = 2732713163227
BaseRepresentation
bin1110011100110011…
…0010010110000000
3101000022210222011100
43213030302112000
530420443420312
61440522014400
7165060003540
oct34714622600
911008728140
103878888832
111710593655
12903047400
1349a7c8ac0
1428b229320
1517a8005dc
hexe7332580

3878888832 has 384 divisors, whose sum is σ = 13882901760. Its totient is φ = 1012248576.

The previous prime is 3878888813. The next prime is 3878888833. The reversal of 3878888832 is 2388888783.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 3878888832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3878888833) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17087503 + ... + 17087729.

It is an arithmetic number, because the mean of its divisors is an integer number (36153390).

Almost surely, 23878888832 is an apocalyptic number.

3878888832 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3878888832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6941450880).

3878888832 is an abundant number, since it is smaller than the sum of its proper divisors (10004012928).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3878888832 is a wasteful number, since it uses less digits than its factorization.

3878888832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 415 counting only the distinct ones).

The product of its digits is 33030144, while the sum is 63.

The square root of 3878888832 is about 62280.7260073291. The cubic root of 3878888832 is about 1571.2155828514.

The spelling of 3878888832 in words is "three billion, eight hundred seventy-eight million, eight hundred eighty-eight thousand, eight hundred thirty-two".