336449993796 has 288 divisors, whose sum is σ = 1032123456000. Its totient is φ = 92260304640.

The previous prime is 336449993791. The next prime is 336449993807. The reversal of 336449993796 is 697399944633.

336449993796 is a `hidden beast` number, since 3 + 3 + 6 + 449 + 9 + 93 + 7 + 96 = 666.

It is a super-2 number, since 2×336449993796² (a number of 24 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (336449993791) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 61947201 + ... + 61952631.

It is an arithmetic number, because the mean of its divisors is an integer number (3583762000).

Almost surely, 2^336449993796 is an apocalyptic number.

336449993796 is a gapful number since it is divisible by the number (36) 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 336449993796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516061728000).

336449993796 is an abundant number, since it is smaller than the sum of its proper divisors (695673462204).

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

336449993796 is a wasteful number, since it uses less digits than its factorization.

336449993796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5664 (or 5645 counting only the distinct ones).

The product of its digits is 714256704, while the sum is 72.

The spelling of 336449993796 in words is "three hundred thirty-six billion, four hundred forty-nine million, nine hundred ninety-three thousand, seven hundred ninety-six".