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3878321040 = 243351131971
BaseRepresentation
bin1110011100101010…
…0111101110010000
3101000021202010022000
43213022213232100
530420322233130
61440501514000
7165052120266
oct34712475620
911007663260
103878321040
111710236000
12902a12900
1349a65a529
1428b11c436
1517a73c260
hexe72a7b90

3878321040 has 640 divisors, whose sum is σ = 15684710400. Its totient is φ = 878169600.

The previous prime is 3878321039. The next prime is 3878321101. The reversal of 3878321040 is 401238783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3878320986 and 3878321004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54624205 + ... + 54624275.

It is an arithmetic number, because the mean of its divisors is an integer number (24507360).

Almost surely, 23878321040 is an apocalyptic number.

3878321040 is a gapful number since it is divisible by the number (30) 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 3878321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7842355200).

3878321040 is an abundant number, since it is smaller than the sum of its proper divisors (11806389360).

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

3878321040 is a wasteful number, since it uses less digits than its factorization.

3878321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3878321040 is about 62276.1675121390. The cubic root of 3878321040 is about 1571.1389142306.

The spelling of 3878321040 in words is "three billion, eight hundred seventy-eight million, three hundred twenty-one thousand, forty".