353945144 has 32 divisors (see below), whose sum is σ = 763015680. Its totient is φ = 150778464.

The previous prime is 353945131. The next prime is 353945149. The reversal of 353945144 is 441549353.

It is a super-2 number, since 2×353945144² = 250554329922361472, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 353945098 and 353945107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353945149) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9572 + ... + 28275.

It is an arithmetic number, because the mean of its divisors is an integer number (23844240).

Almost surely, 2^353945144 is an apocalyptic number.

It is an amenable number.

353945144 is an abundant number, since it is smaller than the sum of its proper divisors (409070536).

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

353945144 is a wasteful number, since it uses less digits than its factorization.

353945144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38027 (or 38023 counting only the distinct ones).

The product of its digits is 129600, while the sum is 38.

The square root of 353945144 is about 18813.4298839951. The cubic root of 353945144 is about 707.3678537213.

The spelling of 353945144 in words is "three hundred fifty-three million, nine hundred forty-five thousand, one hundred forty-four".