338167840 has 96 divisors (see below), whose sum is σ = 853493760. Its totient is φ = 126336000.

The previous prime is 338167831. The next prime is 338167847. The reversal of 338167840 is 48761833.

It is a super-2 number, since 2×338167840² = 228714976020531200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 338167793 and 338167802.

It is not an unprimeable number, because it can be changed into a prime (338167847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142665 + ... + 145015.

It is an arithmetic number, because the mean of its divisors is an integer number (8890560).

Almost surely, 2^338167840 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 338167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426746880).

338167840 is an abundant number, since it is smaller than the sum of its proper divisors (515325920).

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

338167840 is a wasteful number, since it uses less digits than its factorization.

338167840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2426 (or 2418 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The square root of 338167840 is about 18389.3403905632. The cubic root of 338167840 is about 696.6972578261.

The spelling of 338167840 in words is "three hundred thirty-eight million, one hundred sixty-seven thousand, eight hundred forty".