3396880800 has 720 divisors, whose sum is σ = 13611628800. Its totient is φ = 821145600.

The previous prime is 3396880759. The next prime is 3396880829. The reversal of 3396880800 is 80886933.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 38167156 + ... + 38167244.

It is an arithmetic number, because the mean of its divisors is an integer number (18905040).

Almost surely, 2^3396880800 is an apocalyptic number.

3396880800 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 3396880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6805814400).

3396880800 is an abundant number, since it is smaller than the sum of its proper divisors (10214748000).

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

3396880800 is a wasteful number, since it uses less digits than its factorization.

3396880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 149 counting only the distinct ones).

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

The square root of 3396880800 is about 58282.7658918140. The cubic root of 3396880800 is about 1503.2346198093.

The spelling of 3396880800 in words is "three billion, three hundred ninety-six million, eight hundred eighty thousand, eight hundred".