3874117632 has 384 divisors, whose sum is σ = 13586227200. Its totient is φ = 951091200.

The previous prime is 3874117619. The next prime is 3874117661. The reversal of 3874117632 is 2367114783.

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 (42).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8988457 + ... + 8988887.

It is an arithmetic number, because the mean of its divisors is an integer number (35380800).

Almost surely, 2^3874117632 is an apocalyptic number.

3874117632 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 3874117632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6793113600).

3874117632 is an abundant number, since it is smaller than the sum of its proper divisors (9712109568).

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

3874117632 is a wasteful number, since it uses less digits than its factorization.

3874117632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 473 counting only the distinct ones).

The product of its digits is 169344, while the sum is 42.

The square root of 3874117632 is about 62242.4102361083. The cubic root of 3874117632 is about 1570.5710976288.

The spelling of 3874117632 in words is "three billion, eight hundred seventy-four million, one hundred seventeen thousand, six hundred thirty-two".