3331540800 has 672 divisors, whose sum is σ = 14513356800. Its totient is φ = 726865920.

The previous prime is 3331540781. The next prime is 3331540819. The reversal of 3331540800 is 80451333.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3331540781) and next prime (3331540819).

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×3331540800² = 22198328204129280000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6954961 + ... + 6955439.

Almost surely, 2^3331540800 is an apocalyptic number.

3331540800 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 3331540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7256678400).

3331540800 is an abundant number, since it is smaller than the sum of its proper divisors (11181816000).

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

3331540800 is a wasteful number, since it uses less digits than its factorization.

3331540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 519 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3331540800 is about 57719.5010373444. The cubic root of 3331540800 is about 1493.5337652600.

The spelling of 3331540800 in words is "three billion, three hundred thirty-one million, five hundred forty thousand, eight hundred".