338633809920 has 840 divisors, whose sum is σ = 1412871361704. Its totient is φ = 77364854784.

The previous prime is 338633809901. The next prime is 338633809939. The reversal of 338633809920 is 29908336833.

It is an interprime number because it is at equal distance from previous prime (338633809901) and next prime (338633809939).

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×338633809920² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 162569199 + ... + 162571281.

Almost surely, 2^338633809920 is an apocalyptic number.

338633809920 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 338633809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706435680852).

338633809920 is an abundant number, since it is smaller than the sum of its proper divisors (1074237551784).

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

338633809920 is an equidigital number, since it uses as much as digits as its factorization.

338633809920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 5038848, while the sum is 54.

The spelling of 338633809920 in words is "three hundred thirty-eight billion, six hundred thirty-three million, eight hundred nine thousand, nine hundred twenty".