3336394496400 has 405 divisors, whose sum is σ = 13471634245251. Its totient is φ = 762429104640.

The previous prime is 3336394496359. The next prime is 3336394496419. The reversal of 3336394496400 is 46944936333.

The square root of 3336394496400 is 1826580.

It is a perfect power (a square), and thus also a powerful number.

3336394496400 is a `hidden beast` number, since 3 + 3 + 3 + 63 + 94 + 4 + 96 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1640315439504 + 1696079056896 = 1280748^2 + 1302336^2 .

It is a super-2 number, since 2×3336394496400² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 767161426 + ... + 767165774.

Almost surely, 2^{3336394496400} is an apocalyptic number.

3336394496400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3336394496400 is the 1826580-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3336394496400

3336394496400 is an abundant number, since it is smaller than the sum of its proper divisors (10135239748851).

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

3336394496400 is an equidigital number, since it uses as much as digits as its factorization.

3336394496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8736 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 15116544, while the sum is 54.

The spelling of 3336394496400 in words is "three trillion, three hundred thirty-six billion, three hundred ninety-four million, four hundred ninety-six thousand, four hundred".