338761152 has 84 divisors (see below), whose sum is σ = 974618320. Its totient is φ = 112499712.

The previous prime is 338761139. The next prime is 338761177. The reversal of 338761152 is 251167833.

338761152 is a `hidden beast` number, since 3 + 38 + 7 + 611 + 5 + 2 = 666.

It is a super-2 number, since 2×338761152² = 229518236208734208, which 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 polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179349 + ... + 181227.

Almost surely, 2^338761152 is an apocalyptic number.

338761152 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 338761152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487309160).

338761152 is an abundant number, since it is smaller than the sum of its proper divisors (635857168).

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

338761152 is a wasteful number, since it uses less digits than its factorization.

338761152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2210 (or 2197 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 338761152 is about 18405.4652752926. The cubic root of 338761152 is about 697.1044691625.

The spelling of 338761152 in words is "three hundred thirty-eight million, seven hundred sixty-one thousand, one hundred fifty-two".