338570496 has 288 divisors, whose sum is σ = 1125344640. Its totient is φ = 99532800.

The previous prime is 338570471. The next prime is 338570503. The reversal of 338570496 is 694075833.

338570496 is a `hidden beast` number, since 3 + 38 + 570 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×338570496² = 229259961523372032, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4637916 + ... + 4637988.

Almost surely, 2^338570496 is an apocalyptic number.

338570496 is a gapful number since it is divisible by the number (36) 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 338570496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562672320).

338570496 is an abundant number, since it is smaller than the sum of its proper divisors (786774144).

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

338570496 is a wasteful number, since it uses less digits than its factorization.

338570496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 338570496 is about 18400.2852151808. The cubic root of 338570496 is about 696.9736669830.

The spelling of 338570496 in words is "three hundred thirty-eight million, five hundred seventy thousand, four hundred ninety-six".