3331799400 has 384 divisors, whose sum is σ = 11609256960. Its totient is φ = 786432000.

The previous prime is 3331799377. The next prime is 3331799437. The reversal of 3331799400 is 49971333.

3331799400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3331799400² = 22201774483680720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12964072 + ... + 12964328.

It is an arithmetic number, because the mean of its divisors is an integer number (30232440).

Almost surely, 2^3331799400 is an apocalyptic number.

3331799400 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 3331799400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804628480).

3331799400 is an abundant number, since it is smaller than the sum of its proper divisors (8277457560).

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

3331799400 is a wasteful number, since it uses less digits than its factorization.

3331799400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 61236, while the sum is 39.

The square root of 3331799400 is about 57721.7411379802. The cubic root of 3331799400 is about 1493.5724078243.

The spelling of 3331799400 in words is "three billion, three hundred thirty-one million, seven hundred ninety-nine thousand, four hundred".