338687029900 has 72 divisors (see below), whose sum is σ = 760978325520. Its totient is φ = 130685533440.

The previous prime is 338687029883. The next prime is 338687029909. The reversal of 338687029900 is 9920786833.

It is a happy number.

It is a super-2 number, since 2×338687029900² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (338687029909) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3204702 + ... + 3308698.

It is an arithmetic number, because the mean of its divisors is an integer number (10569143410).

Almost surely, 2^338687029900 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 338687029900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380489162760).

338687029900 is an abundant number, since it is smaller than the sum of its proper divisors (422291295620).

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

338687029900 is a wasteful number, since it uses less digits than its factorization.

338687029900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105163 (or 105156 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 55.

The spelling of 338687029900 in words is "three hundred thirty-eight billion, six hundred eighty-seven million, twenty-nine thousand, nine hundred".