338137632000 has 1440 divisors, whose sum is σ = 1464746424960. Its totient is φ = 76814438400.

The previous prime is 338137631927. The next prime is 338137632011. The reversal of 338137632000 is 236731833.

It is a happy number.

338137632000 is a `hidden beast` number, since 3 + 3 + 8 + 13 + 7 + 632 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×338137632000² (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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2074463919 + ... + 2074464081.

Almost surely, 2^338137632000 is an apocalyptic number.

338137632000 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 338137632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732373212480).

338137632000 is an abundant number, since it is smaller than the sum of its proper divisors (1126608792960).

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

338137632000 is an frugal number, since it uses more digits than its factorization.

338137632000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 338137632000 in words is "three hundred thirty-eight billion, one hundred thirty-seven million, six hundred thirty-two thousand".