350973144 has 48 divisors (see below), whose sum is σ = 952328520. Its totient is φ = 116772480.

The previous prime is 350973137. The next prime is 350973197. The reversal of 350973144 is 441379053.

350973144 is a `hidden beast` number, since 3 + 509 + 7 + 3 + 144 = 666.

350973144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 350973099 and 350973108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36844 + ... + 45380.

Almost surely, 2^350973144 is an apocalyptic number.

It is an amenable number.

350973144 is an abundant number, since it is smaller than the sum of its proper divisors (601355376).

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

350973144 is a wasteful number, since it uses less digits than its factorization.

350973144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9120 (or 9113 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 350973144 is about 18734.2772478684. The cubic root of 350973144 is about 705.3824151325.

The spelling of 350973144 in words is "three hundred fifty million, nine hundred seventy-three thousand, one hundred forty-four".