338264064 has 192 divisors, whose sum is σ = 1035977280. Its totient is φ = 106168320.

The previous prime is 338264053. The next prime is 338264077. The reversal of 338264064 is 460462833.

It is a happy number.

338264064 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 640 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×338264064² = 228845153987592192, 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, 9142254 + ... + 9142290.

It is an arithmetic number, because the mean of its divisors is an integer number (5395715).

Almost surely, 2^338264064 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 338264064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (517988640).

338264064 is an abundant number, since it is smaller than the sum of its proper divisors (697713216).

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

338264064 is an equidigital number, since it uses as much as digits as its factorization.

338264064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 338264064 is about 18391.9565027759. The cubic root of 338264064 is about 696.7633321551.

The spelling of 338264064 in words is "three hundred thirty-eight million, two hundred sixty-four thousand, sixty-four".