3325114800 has 540 divisors, whose sum is σ = 13769684656. Its totient is φ = 755827200.

The previous prime is 3325114787. The next prime is 3325114811. The reversal of 3325114800 is 84115233.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×3325114800² = 22112776866358080000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 18370710 + ... + 18370890.

Almost surely, 2^3325114800 is an apocalyptic number.

3325114800 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 3325114800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6884842328).

3325114800 is an abundant number, since it is smaller than the sum of its proper divisors (10444569856).

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

3325114800 is an equidigital number, since it uses as much as digits as its factorization.

3325114800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 3325114800 is about 57663.8084070069. The cubic root of 3325114800 is about 1492.5728860141.

The spelling of 3325114800 in words is "three billion, three hundred twenty-five million, one hundred fourteen thousand, eight hundred".