338272704 has 336 divisors, whose sum is σ = 1255288320. Its totient is φ = 84510720.

The previous prime is 338272687. The next prime is 338272709. The reversal of 338272704 is 407272833.

338272704 is a `hidden beast` number, since 3 + 382 + 7 + 270 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×338272704² = 228856844542943232, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (338272709) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1286077 + ... + 1286339.

Almost surely, 2^338272704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338272704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627644160).

338272704 is an abundant number, since it is smaller than the sum of its proper divisors (917015616).

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

338272704 is a wasteful number, since it uses less digits than its factorization.

338272704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 338272704 is about 18392.1913865640. The cubic root of 338272704 is about 696.7692643883.

The spelling of 338272704 in words is "three hundred thirty-eight million, two hundred seventy-two thousand, seven hundred four".