3875144832 has 384 divisors, whose sum is σ = 13152222720. Its totient is φ = 1083801600.

The previous prime is 3875144803. The next prime is 3875144881. The reversal of 3875144832 is 2384415783.

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

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 47 ways as a sum of consecutive naturals, for example, 7892107 + ... + 7892597.

It is an arithmetic number, because the mean of its divisors is an integer number (34250580).

Almost surely, 2^3875144832 is an apocalyptic number.

3875144832 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 3875144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6576111360).

3875144832 is an abundant number, since it is smaller than the sum of its proper divisors (9277077888).

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

3875144832 is a wasteful number, since it uses less digits than its factorization.

3875144832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 557 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 3875144832 is about 62250.6612976923. The cubic root of 3875144832 is about 1570.7098946591.

The spelling of 3875144832 in words is "three billion, eight hundred seventy-five million, one hundred forty-four thousand, eight hundred thirty-two".