3832107904 has 64 divisors (see below), whose sum is σ = 8344252800. Its totient is φ = 1745141760.

The previous prime is 3832107869. The next prime is 3832107907. The reversal of 3832107904 is 4097012383.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3832107907) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 39052 + ... + 95860.

It is an arithmetic number, because the mean of its divisors is an integer number (130378950).

Almost surely, 2^3832107904 is an apocalyptic number.

3832107904 is a gapful number since it is divisible by the number (34) 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 3832107904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4172126400).

3832107904 is an abundant number, since it is smaller than the sum of its proper divisors (4512144896).

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

3832107904 is a wasteful number, since it uses less digits than its factorization.

3832107904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56871 (or 56859 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 3832107904 is about 61904.0217110326. The cubic root of 3832107904 is about 1564.8735251493.

The spelling of 3832107904 in words is "three billion, eight hundred thirty-two million, one hundred seven thousand, nine hundred four".