338301972 has 72 divisors (see below), whose sum is σ = 908048232. Its totient is φ = 105830400.

The previous prime is 338301949. The next prime is 338301991. The reversal of 338301972 is 279103833.

It is a happy number.

338301972 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 80892036 + 257409936 = 8994^2 + 16044^2 .

It is a super-2 number, since 2×338301972² = 228896448518177568, 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 23 ways as a sum of consecutive naturals, for example, 318322 + ... + 319382.

It is an arithmetic number, because the mean of its divisors is an integer number (12611781).

Almost surely, 2^338301972 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 338301972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454024116).

338301972 is an abundant number, since it is smaller than the sum of its proper divisors (569746260).

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

338301972 is a wasteful number, since it uses less digits than its factorization.

338301972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1609 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 338301972 is about 18392.9870331059. The cubic root of 338301972 is about 696.7893590777.

The spelling of 338301972 in words is "three hundred thirty-eight million, three hundred one thousand, nine hundred seventy-two".