3396556800 has 1008 divisors, whose sum is σ = 15540099120. Its totient is φ = 716636160.

The previous prime is 3396556729. The next prime is 3396556861. The reversal of 3396556800 is 86556933.

3396556800 is a `hidden beast` number, since 3 + 3 + 96 + 556 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 261273594 + ... + 261273606.

It is an arithmetic number, because the mean of its divisors is an integer number (15416765).

Almost surely, 2^3396556800 is an apocalyptic number.

3396556800 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 3396556800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7770049560).

3396556800 is an abundant number, since it is smaller than the sum of its proper divisors (12143542320).

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

3396556800 is an equidigital number, since it uses as much as digits as its factorization.

3396556800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3396556800 is about 58279.9862731624. The cubic root of 3396556800 is about 1503.1868246377.

The spelling of 3396556800 in words is "three billion, three hundred ninety-six million, five hundred fifty-six thousand, eight hundred".