3916256400 has 405 divisors, whose sum is σ = 15916169451. Its totient is φ = 889136640.

The previous prime is 3916256339. The next prime is 3916256401. The reversal of 3916256400 is 46526193.

It is a happy number.

The square root of 3916256400 is 62580.

It is a perfect power (a square), and thus also a powerful number.

3916256400 is a `hidden beast` number, since 3 + 9 + 1 + 6 + 2 + 5 + 640 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1168819344 + 2747437056 = 34188^2 + 52416^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3916256401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26283526 + ... + 26283674.

Almost surely, 2^3916256400 is an apocalyptic number.

3916256400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3916256400 is the 62580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3916256400

3916256400 is an abundant number, since it is smaller than the sum of its proper divisors (11999913051).

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

3916256400 is a wasteful number, since it uses less digits than its factorization.

3916256400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 3916256400 is about 1576.2449416161.

Multiplying 3916256400 by its sum of digits (36), we get a square (140985230400 = 375480²).

3916256400 divided by its sum of digits (36) gives a square (108784900 = 10430²).

The spelling of 3916256400 in words is "three billion, nine hundred sixteen million, two hundred fifty-six thousand, four hundred".