336394080000 has 720 divisors, whose sum is σ = 1356270854400. Its totient is φ = 81538560000.

The previous prime is 336394079981. The next prime is 336394080013. The reversal of 336394080000 is 80493633.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×336394080000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 47516461 + ... + 47523539.

It is an arithmetic number, because the mean of its divisors is an integer number (1883709520).

Almost surely, 2^336394080000 is an apocalyptic number.

336394080000 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 336394080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678135427200).

336394080000 is an abundant number, since it is smaller than the sum of its proper divisors (1019876774400).

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

336394080000 is an equidigital number, since it uses as much as digits as its factorization.

336394080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7135 (or 7100 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 336394080000 in words is "three hundred thirty-six billion, three hundred ninety-four million, eighty thousand".