3338042800 has 120 divisors (see below), whose sum is σ = 8320138112. Its totient is φ = 1285632000.

The previous prime is 3338042779. The next prime is 3338042819. The reversal of 3338042800 is 82408333.

It is a super-2 number, since 2×3338042800² = 22285059469263680000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2987842 + ... + 2988958.

Almost surely, 2^3338042800 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 3338042800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4160069056).

3338042800 is an abundant number, since it is smaller than the sum of its proper divisors (4982095312).

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

3338042800 is a wasteful number, since it uses less digits than its factorization.

3338042800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 3338042800 is about 57775.7977011136. The cubic root of 3338042800 is about 1494.5047520099.

The spelling of 3338042800 in words is "three billion, three hundred thirty-eight million, forty-two thousand, eight hundred".