3325996800 has 648 divisors, whose sum is σ = 13898006304. Its totient is φ = 743178240.

The previous prime is 3325996771. The next prime is 3325996831. The reversal of 3325996800 is 86995233.

It is a super-2 number, since 2×3325996800² = 22124509427220480000, which contains 22 as substring.

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 71 ways as a sum of consecutive naturals, for example, 29433544 + ... + 29433656.

Almost surely, 2^3325996800 is an apocalyptic number.

3325996800 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 3325996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949003152).

3325996800 is an abundant number, since it is smaller than the sum of its proper divisors (10572009504).

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

3325996800 is a wasteful number, since it uses less digits than its factorization.

3325996800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 3325996800 is about 57671.4556778308. The cubic root of 3325996800 is about 1492.7048446565.

The spelling of 3325996800 in words is "three billion, three hundred twenty-five million, nine hundred ninety-six thousand, eight hundred".