338833152 has 288 divisors, whose sum is σ = 1177344000. Its totient is φ = 94113792.

The previous prime is 338833151. The next prime is 338833177. The reversal of 338833152 is 251338833.

338833152 is a `hidden beast` number, since 338 + 8 + 3 + 315 + 2 = 666.

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

It is a super-2 number, since 2×338833152² = 229615809788510208, 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 not an unprimeable number, because it can be changed into a prime (338833151) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2273974 + ... + 2274122.

It is an arithmetic number, because the mean of its divisors is an integer number (4088000).

Almost surely, 2^338833152 is an apocalyptic number.

338833152 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 338833152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588672000).

338833152 is an abundant number, since it is smaller than the sum of its proper divisors (838510848).

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

338833152 is a wasteful number, since it uses less digits than its factorization.

338833152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 208 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 338833152 is about 18407.4211121493. The cubic root of 338833152 is about 697.1538529894.

The spelling of 338833152 in words is "three hundred thirty-eight million, eight hundred thirty-three thousand, one hundred fifty-two".