338577312 has 48 divisors (see below), whose sum is σ = 895194720. Its totient is φ = 112042752.

The previous prime is 338577311. The next prime is 338577329. The reversal of 338577312 is 213775833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×338577312² = 229269192402290688, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338577311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 658 + ... + 26030.

It is an arithmetic number, because the mean of its divisors is an integer number (18649890).

Almost surely, 2^338577312 is an apocalyptic number.

338577312 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 338577312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447597360).

338577312 is an abundant number, since it is smaller than the sum of its proper divisors (556617408).

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

338577312 is a wasteful number, since it uses less digits than its factorization.

338577312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25525 (or 25517 counting only the distinct ones).

The product of its digits is 105840, while the sum is 39.

The square root of 338577312 is about 18400.4704287689. The cubic root of 338577312 is about 696.9783440401.

The spelling of 338577312 in words is "three hundred thirty-eight million, five hundred seventy-seven thousand, three hundred twelve".