338431392000 has 1152 divisors, whose sum is σ = 1392797952000. Its totient is φ = 80356147200.

The previous prime is 338431391993. The next prime is 338431392053. The reversal of 338431392000 is 293134833.

338431392000 is a `hidden beast` number, since 338 + 4 + 313 + 9 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×338431392000² (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 an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 325727481 + ... + 325728519.

It is an arithmetic number, because the mean of its divisors is an integer number (1209026000).

Almost surely, 2^338431392000 is an apocalyptic number.

338431392000 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 338431392000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696398976000).

338431392000 is an abundant number, since it is smaller than the sum of its proper divisors (1054366560000).

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

338431392000 is a wasteful number, since it uses less digits than its factorization.

338431392000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 1091 counting only the distinct ones).

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

The spelling of 338431392000 in words is "three hundred thirty-eight billion, four hundred thirty-one million, three hundred ninety-two thousand".