338375712 has 96 divisors (see below), whose sum is σ = 967377600. Its totient is φ = 103154688.

The previous prime is 338375689. The next prime is 338375743. The reversal of 338375712 is 217573833.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×338375712² = 228996244943013888, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49698 + ... + 56094.

It is an arithmetic number, because the mean of its divisors is an integer number (10076850).

Almost surely, 2^338375712 is an apocalyptic number.

338375712 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 338375712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (483688800).

338375712 is an abundant number, since it is smaller than the sum of its proper divisors (629001888).

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

338375712 is a wasteful number, since it uses less digits than its factorization.

338375712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6458 (or 6450 counting only the distinct ones).

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

The square root of 338375712 is about 18394.9914922514. The cubic root of 338375712 is about 696.8399820111.

The spelling of 338375712 in words is "three hundred thirty-eight million, three hundred seventy-five thousand, seven hundred twelve".