349920120960 has 128 divisors (see below), whose sum is σ = 1239300489600. Its totient is φ = 93312027648.

The previous prime is 349920120917. The next prime is 349920120971. The reversal of 349920120960 is 69021029943.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×349920120960² (a number of 24 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 10107724 + ... + 10142283.

It is an arithmetic number, because the mean of its divisors is an integer number (9682035075).

Almost surely, 2^349920120960 is an apocalyptic number.

349920120960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

349920120960 is an abundant number, since it is smaller than the sum of its proper divisors (889380368640).

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

349920120960 is a wasteful number, since it uses less digits than its factorization.

349920120960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20250035 (or 20250017 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The spelling of 349920120960 in words is "three hundred forty-nine billion, nine hundred twenty million, one hundred twenty thousand, nine hundred sixty".