349245540900 has 81 divisors (see below), whose sum is σ = 1094746319121. Its totient is φ = 93127416480.

The previous prime is 349245540877. The next prime is 349245540913. The reversal of 349245540900 is 9045542943.

The square root of 349245540900 is 590970.

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

349245540900 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 4 + 554 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 125728394724 + 223517146176 = 354582^2 + 472776^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17719251 + ... + 17738949.

Almost surely, 2^349245540900 is an apocalyptic number.

349245540900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

349245540900 is the 590970-th square number.

It is an amenable number.

349245540900 is an abundant number, since it is smaller than the sum of its proper divisors (745500778221).

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

349245540900 is an equidigital number, since it uses as much as digits as its factorization.

349245540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39418 (or 19709 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 349245540900 in words is "three hundred forty-nine billion, two hundred forty-five million, five hundred forty thousand, nine hundred".