338774400 has 240 divisors, whose sum is σ = 1251108540. Its totient is φ = 90270720.

The previous prime is 338774353. The next prime is 338774461. The reversal of 338774400 is 4477833.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×338774400² = 229536188190720000, 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 29 ways as a sum of consecutive naturals, for example, 258547 + ... + 259853.

Almost surely, 2^338774400 is an apocalyptic number.

338774400 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 338774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (625554270).

338774400 is an abundant number, since it is smaller than the sum of its proper divisors (912334140).

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

338774400 is a wasteful number, since it uses less digits than its factorization.

338774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343 (or 1317 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 338774400 is about 18405.8251648765. The cubic root of 338774400 is about 697.1135563119.

The spelling of 338774400 in words is "three hundred thirty-eight million, seven hundred seventy-four thousand, four hundred".