338758860000 has 720 divisors, whose sum is σ = 1264300606800. Its totient is φ = 79242240000.

The previous prime is 338758859951. The next prime is 338758860023. The reversal of 338758860000 is 68857833.

It is a happy number.

It is a super-2 number, since 2×338758860000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 210539196 + ... + 210540804.

It is an arithmetic number, because the mean of its divisors is an integer number (1755973065).

Almost surely, 2^338758860000 is an apocalyptic number.

338758860000 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 338758860000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632150303400).

338758860000 is an abundant number, since it is smaller than the sum of its proper divisors (925541746800).

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

338758860000 is a wasteful number, since it uses less digits than its factorization.

338758860000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1693 (or 1659 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 338758860000 in words is "three hundred thirty-eight billion, seven hundred fifty-eight million, eight hundred sixty thousand".