338272027632 has 1200 divisors, whose sum is σ = 1325033248000. Its totient is φ = 82987027200.

The previous prime is 338272027591. The next prime is 338272027637. The reversal of 338272027632 is 236720272833.

338272027632 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 7 + 2 + 0 + 2 + 7 + 632 = 666.

It is a super-3 number, since 3×338272027632³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338272027637) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1021969707 + ... + 1021970037.

Almost surely, 2^338272027632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338272027632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662516624000).

338272027632 is an abundant number, since it is smaller than the sum of its proper divisors (986761220368).

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

338272027632 is a wasteful number, since it uses less digits than its factorization.

338272027632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 338272027632 in words is "three hundred thirty-eight billion, two hundred seventy-two million, twenty-seven thousand, six hundred thirty-two".