336876105384 has 960 divisors, whose sum is σ = 1246739472000. Its totient is φ = 82973030400.

The previous prime is 336876105373. The next prime is 336876105389. The reversal of 336876105384 is 483501678633.

336876105384 is a `hidden beast` number, since 3 + 36 + 8 + 76 + 1 + 0 + 538 + 4 = 666.

It is a super-2 number, since 2×336876105384² (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 self number, because there is not a number n which added to its sum of digits gives 336876105384.

It is not an unprimeable number, because it can be changed into a prime (336876105389) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1471074582 + ... + 1471074810.

It is an arithmetic number, because the mean of its divisors is an integer number (1298686950).

Almost surely, 2^336876105384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 336876105384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623369736000).

336876105384 is an abundant number, since it is smaller than the sum of its proper divisors (909863366616).

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

336876105384 is a wasteful number, since it uses less digits than its factorization.

336876105384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 336876105384 in words is "three hundred thirty-six billion, eight hundred seventy-six million, one hundred five thousand, three hundred eighty-four".