338397696000 has 1664 divisors, whose sum is σ = 1545622041600. Its totient is φ = 71132774400.

The previous prime is 338397695983. The next prime is 338397696011. The reversal of 338397696000 is 696793833.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a super-2 number, since 2×338397696000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1257983866 + ... + 1257984134.

It is an arithmetic number, because the mean of its divisors is an integer number (928859400).

Almost surely, 2^338397696000 is an apocalyptic number.

338397696000 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 338397696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772811020800).

338397696000 is an abundant number, since it is smaller than the sum of its proper divisors (1207224345600).

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

338397696000 is a wasteful number, since it uses less digits than its factorization.

338397696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 54.

The spelling of 338397696000 in words is "three hundred thirty-eight billion, three hundred ninety-seven million, six hundred ninety-six thousand".