3382444800 has 324 divisors, whose sum is σ = 13822222960. Its totient is φ = 773038080.

The previous prime is 3382444787. The next prime is 3382444843. The reversal of 3382444800 is 84442833.

3382444800 is a `hidden beast` number, since 338 + 244 + 4 + 80 + 0 = 666.

It is a super-2 number, since 2×3382444800² = 22881865650094080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 399006 + ... + 407394.

Almost surely, 2^3382444800 is an apocalyptic number.

3382444800 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 3382444800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6911111480).

3382444800 is an abundant number, since it is smaller than the sum of its proper divisors (10439778160).

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

3382444800 is a wasteful number, since it uses less digits than its factorization.

3382444800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8428 (or 8406 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3382444800 is about 58158.7895334832. The cubic root of 3382444800 is about 1501.1021233511.

The spelling of 3382444800 in words is "three billion, three hundred eighty-two million, four hundred forty-four thousand, eight hundred".