338956800 has 480 divisors, whose sum is σ = 1392327552. Its totient is φ = 70778880.

The previous prime is 338956781. The next prime is 338956817. The reversal of 338956800 is 8659833.

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

It is a super-2 number, since 2×338956800² = 229783424532480000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3494352 + ... + 3494448.

Almost surely, 2^338956800 is an apocalyptic number.

338956800 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 338956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696163776).

338956800 is an abundant number, since it is smaller than the sum of its proper divisors (1053370752).

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

338956800 is a wasteful number, since it uses less digits than its factorization.

338956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 338956800 is about 18410.7794511802. The cubic root of 338956800 is about 697.2386451608.

The spelling of 338956800 in words is "three hundred thirty-eight million, nine hundred fifty-six thousand, eight hundred".