336276040100 has 576 divisors, whose sum is σ = 1008355461120. Its totient is φ = 93970022400.

The previous prime is 336276040099. The next prime is 336276040123. The reversal of 336276040100 is 1040672633.

It is a super-3 number, since 3×336276040100³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 191 ways as a sum of consecutive naturals, for example, 572872007 + ... + 572872593.

It is an arithmetic number, because the mean of its divisors is an integer number (1750617120).

Almost surely, 2^336276040100 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 336276040100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504177730560).

336276040100 is an abundant number, since it is smaller than the sum of its proper divisors (672079421020).

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

336276040100 is a wasteful number, since it uses less digits than its factorization.

336276040100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 336276040100 in words is "three hundred thirty-six billion, two hundred seventy-six million, forty thousand, one hundred".