3949088400 has 90 divisors (see below), whose sum is σ = 13704446210. Its totient is φ = 1053089280.

The previous prime is 3949088387. The next prime is 3949088441. The reversal of 3949088400 is 48809493.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 65804544 + 3883283856 = 8112^2 + 62316^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 544885 + ... + 552084.

Almost surely, 2^3949088400 is an apocalyptic number.

3949088400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3949088400 is an abundant number, since it is smaller than the sum of its proper divisors (9755357810).

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

3949088400 is a wasteful number, since it uses less digits than its factorization.

3949088400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1096993 (or 1096979 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3949088400 is about 62841.7727312017. The cubic root of 3949088400 is about 1580.6375144592.

The spelling of 3949088400 in words is "three billion, nine hundred forty-nine million, eighty-eight thousand, four hundred".