3152980800 has 252 divisors, whose sum is σ = 11256544416. Its totient is φ = 837043200.

The previous prime is 3152980793. The next prime is 3152980813. The reversal of 3152980800 is 80892513.

It is a super-4 number, since 4×3152980800⁴ (a number of 39 digits) contains 4444 as substring.

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

It is a congruent number.

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, 4996485 + ... + 4997115.

Almost surely, 2^3152980800 is an apocalyptic number.

3152980800 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 3152980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628272208).

3152980800 is an abundant number, since it is smaller than the sum of its proper divisors (8103563616).

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

3152980800 is a wasteful number, since it uses less digits than its factorization.

3152980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1006 (or 988 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 3152980800 is about 56151.4095994036. The cubic root of 3152980800 is about 1466.3594489676.

The spelling of 3152980800 in words is "three billion, one hundred fifty-two million, nine hundred eighty thousand, eight hundred".