3875333904 has 120 divisors (see below), whose sum is σ = 11871648152. Its totient is φ = 1172828160.

The previous prime is 3875333897. The next prime is 3875333909. The reversal of 3875333904 is 4093335783.

3875333904 is a `hidden beast` number, since 3 + 87 + 533 + 39 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217503504 + 3657830400 = 14748^2 + 60480^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3875333904.

It is not an unprimeable number, because it can be changed into a prime (3875333909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97224 + ... + 131160.

Almost surely, 2^3875333904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3875333904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5935824076).

3875333904 is an abundant number, since it is smaller than the sum of its proper divisors (7996314248).

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

3875333904 is a wasteful number, since it uses less digits than its factorization.

3875333904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34025 (or 34016 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The square root of 3875333904 is about 62252.1799136384. The cubic root of 3875333904 is about 1570.7354397199.

The spelling of 3875333904 in words is "three billion, eight hundred seventy-five million, three hundred thirty-three thousand, nine hundred four".