338224550400 has 480 divisors, whose sum is σ = 1354322692800. Its totient is φ = 81992908800.

The previous prime is 338224550333. The next prime is 338224550401. The reversal of 338224550400 is 4055422833.

338224550400 is a `hidden beast` number, since 3 + 3 + 8 + 2 + 245 + 5 + 0 + 400 = 666.

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

It is a super-2 number, since 2×338224550400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (338224550401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3757116 + ... + 3846084.

It is an arithmetic number, because the mean of its divisors is an integer number (2821505610).

Almost surely, 2^338224550400 is an apocalyptic number.

338224550400 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 338224550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (677161346400).

338224550400 is an abundant number, since it is smaller than the sum of its proper divisors (1016098142400).

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

338224550400 is a wasteful number, since it uses less digits than its factorization.

338224550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89017 (or 88990 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 338224550400 in words is "three hundred thirty-eight billion, two hundred twenty-four million, five hundred fifty thousand, four hundred".