338342400 has 480 divisors, whose sum is σ = 1370001600. Its totient is φ = 81100800.

The previous prime is 338342383. The next prime is 338342423. The reversal of 338342400 is 4243833.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×338342400² = 228951159275520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3801556 + ... + 3801644.

It is an arithmetic number, because the mean of its divisors is an integer number (2854170).

Almost surely, 2^338342400 is an apocalyptic number.

338342400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 338342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685000800).

338342400 is an abundant number, since it is smaller than the sum of its proper divisors (1031659200).

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

338342400 is a wasteful number, since it uses less digits than its factorization.

338342400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 338342400 is about 18394.0860061053. The cubic root of 338342400 is about 696.8171140427.

The spelling of 338342400 in words is "three hundred thirty-eight million, three hundred forty-two thousand, four hundred".