3367980800 has 108 divisors (see below), whose sum is σ = 8473921176. Its totient is φ = 1324953600.

The previous prime is 3367980773. The next prime is 3367980881. The reversal of 3367980800 is 80897633.

It is a super-2 number, since 2×3367980800² = 22686589338337280000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 386087 + ... + 394713.

Almost surely, 2^3367980800 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 3367980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4236960588).

3367980800 is an abundant number, since it is smaller than the sum of its proper divisors (5105940376).

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

3367980800 is an equidigital number, since it uses as much as digits as its factorization.

3367980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8714 (or 8695 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 44.

The square root of 3367980800 is about 58034.3070950279. The cubic root of 3367980800 is about 1498.9593967821.

The spelling of 3367980800 in words is "three billion, three hundred sixty-seven million, nine hundred eighty thousand, eight hundred".