3337980800 has 768 divisors, whose sum is σ = 11656396800. Its totient is φ = 912384000.

The previous prime is 3337980799. The next prime is 3337980809. The reversal of 3337980800 is 80897333.

It is a super-2 number, since 2×3337980800² = 22284231642337280000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3337980809) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107676785 + ... + 107676815.

It is an arithmetic number, because the mean of its divisors is an integer number (15177600).

Almost surely, 2^3337980800 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 3337980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5828198400).

3337980800 is an abundant number, since it is smaller than the sum of its proper divisors (8318416000).

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

3337980800 is a wasteful number, since it uses less digits than its factorization.

3337980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 41.

The square root of 3337980800 is about 57775.2611417724. The cubic root of 3337980800 is about 1494.4954990960.

The spelling of 3337980800 in words is "three billion, three hundred thirty-seven million, nine hundred eighty thousand, eight hundred".