338975172000 has 384 divisors, whose sum is σ = 1306457268480. Its totient is φ = 85075660800.

The previous prime is 338975171999. The next prime is 338975172049. The reversal of 338975172000 is 271579833.

It is a happy number.

338975172000 is a `hidden beast` number, since 33 + 89 + 7 + 517 + 20 + 0 + 0 = 666.

It is a super-2 number, since 2×338975172000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1743687 + ... + 1928313.

It is an arithmetic number, because the mean of its divisors is an integer number (3402232470).

Almost surely, 2^338975172000 is an apocalyptic number.

338975172000 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 338975172000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653228634240).

338975172000 is an abundant number, since it is smaller than the sum of its proper divisors (967482096480).

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

338975172000 is a wasteful number, since it uses less digits than its factorization.

338975172000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184678 (or 184654 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 338975172000 in words is "three hundred thirty-eight billion, nine hundred seventy-five million, one hundred seventy-two thousand".