338551107840 has 864 divisors, whose sum is σ = 1390359868800. Its totient is φ = 77735116800.

The previous prime is 338551107827. The next prime is 338551107863. The reversal of 338551107840 is 48701155833.

It is a happy number.

338551107840 is a `hidden beast` number, since 3 + 3 + 8 + 551 + 10 + 7 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×338551107840² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 79451310 + ... + 79455570.

Almost surely, 2^338551107840 is an apocalyptic number.

338551107840 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 338551107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695179934400).

338551107840 is an abundant number, since it is smaller than the sum of its proper divisors (1051808760960).

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

338551107840 is a wasteful number, since it uses less digits than its factorization.

338551107840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4332 (or 4301 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 338551107840 in words is "three hundred thirty-eight billion, five hundred fifty-one million, one hundred seven thousand, eight hundred forty".