3914982400 has 198 divisors, whose sum is σ = 11292426978. Its totient is φ = 1341849600.

The previous prime is 3914982389. The next prime is 3914982413. The reversal of 3914982400 is 42894193.

It can be written as a sum of positive squares in 3 ways, for example, as 65028096 + 3849954304 = 8064^2 + 62048^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1252840 + ... + 1255960.

Almost surely, 2^3914982400 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 3914982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5646213489).

3914982400 is an abundant number, since it is smaller than the sum of its proper divisors (7377444578).

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

3914982400 is a wasteful number, since it uses less digits than its factorization.

3914982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3165 (or 3135 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 3914982400 is about 62569.8202011161. The cubic root of 3914982400 is about 1576.0739999781.

The spelling of 3914982400 in words is "three billion, nine hundred fourteen million, nine hundred eighty-two thousand, four hundred".