3916874304 has 168 divisors, whose sum is σ = 13245193728. Its totient is φ = 1082972160.

The previous prime is 3916874287. The next prime is 3916874321. The reversal of 3916874304 is 4034786193.

It is an interprime number because it is at equal distance from previous prime (3916874287) and next prime (3916874321).

It is a tau number, because it is divible by the number of its divisors (168).

It is a self number, because there is not a number n which added to its sum of digits gives 3916874304.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109324 + ... + 140660.

Almost surely, 2^3916874304 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 3916874304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6622596864).

3916874304 is an abundant number, since it is smaller than the sum of its proper divisors (9328319424).

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

3916874304 is a wasteful number, since it uses less digits than its factorization.

3916874304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31393 (or 31380 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3916874304 is about 62584.9367180314. The cubic root of 3916874304 is about 1576.3278368384.

The spelling of 3916874304 in words is "three billion, nine hundred sixteen million, eight hundred seventy-four thousand, three hundred four".