338586087840 has 576 divisors, whose sum is σ = 1457592071040. Its totient is φ = 64942940160.

The previous prime is 338586087821. The next prime is 338586087871. The reversal of 338586087840 is 48780685833.

It is a super-2 number, since 2×338586087840² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3313026 + ... + 3413694.

It is an arithmetic number, because the mean of its divisors is an integer number (2530541790).

Almost surely, 2^338586087840 is an apocalyptic number.

338586087840 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 338586087840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728796035520).

338586087840 is an abundant number, since it is smaller than the sum of its proper divisors (1119005983200).

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

338586087840 is a wasteful number, since it uses less digits than its factorization.

338586087840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100725 (or 100710 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 338586087840 in words is "three hundred thirty-eight billion, five hundred eighty-six million, eighty-seven thousand, eight hundred forty".