3916764400 has 30 divisors (see below), whose sum is σ = 9410027432. Its totient is φ = 1566705600.

The previous prime is 3916764361. The next prime is 3916764403. The reversal of 3916764400 is 44676193.

3916764400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3916764403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4895556 + ... + 4896355.

Almost surely, 2^3916764400 is an apocalyptic number.

It is an amenable number.

3916764400 is an abundant number, since it is smaller than the sum of its proper divisors (5493263032).

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

3916764400 is a wasteful number, since it uses less digits than its factorization.

3916764400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9791929 (or 9791918 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The square root of 3916764400 is about 62584.0586731158. The cubic root of 3916764400 is about 1576.3130932494.

The spelling of 3916764400 in words is "three billion, nine hundred sixteen million, seven hundred sixty-four thousand, four hundred".