349813102500 has 135 divisors (see below), whose sum is σ = 1105238837703. Its totient is φ = 93259836000.

The previous prime is 349813102493. The next prime is 349813102511. The reversal of 349813102500 is 5201318943.

The square root of 349813102500 is 591450.

It is a perfect power (a square), and thus also a powerful number.

349813102500 is a `hidden beast` number, since 3 + 4 + 98 + 1 + 310 + 250 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27425347236 + 322387755264 = 165606^2 + 567792^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 88715529 + ... + 88719471.

Almost surely, 2^349813102500 is an apocalyptic number.

349813102500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349813102500 is the 591450-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349813102500

349813102500 is an abundant number, since it is smaller than the sum of its proper divisors (755425735203).

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

349813102500 is an frugal number, since it uses more digits than its factorization.

349813102500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7916 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 349813102500 by its sum of digits (36), we get a square (12593271690000 = 3548700²).

349813102500 divided by its sum of digits (36) gives a square (9717030625 = 98575²).

The spelling of 349813102500 in words is "three hundred forty-nine billion, eight hundred thirteen million, one hundred two thousand, five hundred".