3156998400 has 324 divisors, whose sum is σ = 11782662528. Its totient is φ = 804925440.

The previous prime is 3156998387. The next prime is 3156998419. The reversal of 3156998400 is 48996513.

It is a happy number.

3156998400 is a `hidden beast` number, since 3 + 1 + 569 + 9 + 84 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1323609 + ... + 1325991.

Almost surely, 2^3156998400 is an apocalyptic number.

3156998400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3156998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891331264).

3156998400 is an abundant number, since it is smaller than the sum of its proper divisors (8625664128).

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

3156998400 is a wasteful number, since it uses less digits than its factorization.

3156998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2438 (or 2416 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3156998400 is about 56187.1729133972. The cubic root of 3156998400 is about 1466.9820074937.

The spelling of 3156998400 in words is "three billion, one hundred fifty-six million, nine hundred ninety-eight thousand, four hundred".