350401343760 has 120 divisors (see below), whose sum is σ = 1267284893784. Its totient is φ = 86252636160.

The previous prime is 350401343731. The next prime is 350401343783. The reversal of 350401343760 is 67343104053.

It can be written as a sum of positive squares in 4 ways, for example, as 21219166224 + 329182177536 = 145668^2 + 573744^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×350401343760² (a number of 24 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 18708661 + ... + 18727380.

Almost surely, 2^350401343760 is an apocalyptic number.

350401343760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

350401343760 is an abundant number, since it is smaller than the sum of its proper divisors (916883550024).

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

350401343760 is a wasteful number, since it uses less digits than its factorization.

350401343760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37436073 (or 37436064 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 350401343760 in words is "three hundred fifty billion, four hundred one million, three hundred forty-three thousand, seven hundred sixty".