338605632 has 168 divisors, whose sum is σ = 1031808960. Its totient is φ = 105937920.

The previous prime is 338605601. The next prime is 338605637. The reversal of 338605632 is 236506833.

It is a happy number.

338605632 is a `hidden beast` number, since 3 + 38 + 60 + 563 + 2 = 666.

It is a super-2 number, since 2×338605632² = 229307548044238848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (338605637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 807919 + ... + 808337.

It is an arithmetic number, because the mean of its divisors is an integer number (6141720).

Almost surely, 2^338605632 is an apocalyptic number.

338605632 is a gapful number since it is divisible by the number (32) 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 338605632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515904480).

338605632 is an abundant number, since it is smaller than the sum of its proper divisors (693203328).

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

338605632 is a wasteful number, since it uses less digits than its factorization.

338605632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 521 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 338605632 is about 18401.2399582202. The cubic root of 338605632 is about 696.9977762109.

The spelling of 338605632 in words is "three hundred thirty-eight million, six hundred five thousand, six hundred thirty-two".