3331894800 has 240 divisors, whose sum is σ = 11585508480. Its totient is φ = 813649920.

The previous prime is 3331894799. The next prime is 3331894817. The reversal of 3331894800 is 84981333.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3331894800² = 22203045916534080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 47 ways as a sum of consecutive naturals, for example, 2136421 + ... + 2137979.

It is an arithmetic number, because the mean of its divisors is an integer number (48272952).

Almost surely, 2^3331894800 is an apocalyptic number.

3331894800 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 3331894800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5792754240).

3331894800 is an abundant number, since it is smaller than the sum of its proper divisors (8253613680).

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

3331894800 is a wasteful number, since it uses less digits than its factorization.

3331894800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730 (or 1719 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 3331894800 is about 57722.5675104634. The cubic root of 3331894800 is about 1493.5866629290.

The spelling of 3331894800 in words is "three billion, three hundred thirty-one million, eight hundred ninety-four thousand, eight hundred".