349980407702100 has 360 divisors, whose sum is σ = 1297552663397760. Its totient is φ = 79934856065280.

The previous prime is 349980407702083. The next prime is 349980407702161. The reversal of 349980407702100 is 1207704089943.

349980407702100 is a `hidden beast` number, since 3 + 4 + 99 + 80 + 407 + 70 + 2 + 1 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 72447462 + ... + 77127138.

Almost surely, 2^{349980407702100} is an apocalyptic number.

349980407702100 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 349980407702100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648776331698880).

349980407702100 is an abundant number, since it is smaller than the sum of its proper divisors (947572255695660).

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

349980407702100 is a wasteful number, since it uses less digits than its factorization.

349980407702100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4681029 (or 4681013 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 349980407702100 in words is "three hundred forty-nine trillion, nine hundred eighty billion, four hundred seven million, seven hundred two thousand, one hundred".