339921248100 has 144 divisors (see below), whose sum is σ = 1172876264448. Its totient is φ = 74318175360.

The previous prime is 339921248059. The next prime is 339921248101. The reversal of 339921248100 is 1842129933.

339921248100 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×339921248100² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (339921248101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3470554 + ... + 3567153.

Almost surely, 2^339921248100 is an apocalyptic number.

339921248100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

339921248100 is an abundant number, since it is smaller than the sum of its proper divisors (832955016348).

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

339921248100 is a wasteful number, since it uses less digits than its factorization.

339921248100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7037754 (or 7037747 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 339921248100 in words is "three hundred thirty-nine billion, nine hundred twenty-one million, two hundred forty-eight thousand, one hundred".