338624664 has 128 divisors (see below), whose sum is σ = 994222080. Its totient is φ = 94118400.

The previous prime is 338624647. The next prime is 338624729. The reversal of 338624664 is 466426833.

It is a happy number.

It is a super-2 number, since 2×338624664² = 229333326138225792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1772809 + ... + 1772999.

It is an arithmetic number, because the mean of its divisors is an integer number (7767360).

Almost surely, 2^338624664 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 338624664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497111040).

338624664 is an abundant number, since it is smaller than the sum of its proper divisors (655597416).

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

338624664 is a wasteful number, since it uses less digits than its factorization.

338624664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its digits is 497664, while the sum is 42.

The square root of 338624664 is about 18401.7570900172. The cubic root of 338624664 is about 697.0108346796.

The spelling of 338624664 in words is "three hundred thirty-eight million, six hundred twenty-four thousand, six hundred sixty-four".