338882054400 has 432 divisors, whose sum is σ = 1308061070400. Its totient is φ = 85611479040.

The previous prime is 338882054389. The next prime is 338882054417. The reversal of 338882054400 is 4450288833.

338882054400 is a `hidden beast` number, since 3 + 3 + 8 + 88 + 20 + 544 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×338882054400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 3231592 + ... + 3334808.

Almost surely, 2^338882054400 is an apocalyptic number.

338882054400 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 338882054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654030535200).

338882054400 is an abundant number, since it is smaller than the sum of its proper divisors (969179016000).

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

338882054400 is a wasteful number, since it uses less digits than its factorization.

338882054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103271 (or 103246 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 338882054400 in words is "three hundred thirty-eight billion, eight hundred eighty-two million, fifty-four thousand, four hundred".