3331036800 has 1152 divisors, whose sum is σ = 15469009920. Its totient is φ = 663552000.

The previous prime is 3331036783. The next prime is 3331036843. The reversal of 3331036800 is 86301333.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3331036800² = 22191612325908480000, which contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 81244780 + ... + 81244820.

It is an arithmetic number, because the mean of its divisors is an integer number (13427960).

Almost surely, 2^3331036800 is an apocalyptic number.

3331036800 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 3331036800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734504960).

3331036800 is an abundant number, since it is smaller than the sum of its proper divisors (12137973120).

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

3331036800 is a wasteful number, since it uses less digits than its factorization.

3331036800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3331036800 is about 57715.1349301030. The cubic root of 3331036800 is about 1493.4584468588.

The spelling of 3331036800 in words is "three billion, three hundred thirty-one million, thirty-six thousand, eight hundred".