338752886400 has 336 divisors, whose sum is σ = 1254672920310. Its totient is φ = 90333480960.

The previous prime is 338752886393. The next prime is 338752886401. The reversal of 338752886400 is 4688257833.

338752886400 is a `hidden beast` number, since 3 + 38 + 7 + 528 + 86 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 299349048384 + 39403838016 = 547128^2 + 198504^2 .

It is a super-2 number, since 2×338752886400² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (338752886401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2260194 + ... + 2405406.

Almost surely, 2^338752886400 is an apocalyptic number.

338752886400 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 338752886400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627336460155).

338752886400 is an abundant number, since it is smaller than the sum of its proper divisors (915920033910).

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

338752886400 is an equidigital number, since it uses as much as digits as its factorization.

338752886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145255 (or 145223 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 338752886400 in words is "three hundred thirty-eight billion, seven hundred fifty-two million, eight hundred eighty-six thousand, four hundred".