3916416400 has 120 divisors (see below), whose sum is σ = 10234673064. Its totient is φ = 1431552000.

The previous prime is 3916416377. The next prime is 3916416421. The reversal of 3916416400 is 46146193.

It can be written as a sum of positive squares in 12 ways, for example, as 1031437456 + 2884978944 = 32116^2 + 53712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 521472 + ... + 528928.

Almost surely, 2^3916416400 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 3916416400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5117336532).

3916416400 is an abundant number, since it is smaller than the sum of its proper divisors (6318256664).

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

3916416400 is a wasteful number, since it uses less digits than its factorization.

3916416400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7589 (or 7578 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 3916416400 is about 62581.2783506377. The cubic root of 3916416400 is about 1576.2664073332.

The spelling of 3916416400 in words is "three billion, nine hundred sixteen million, four hundred sixteen thousand, four hundred".