351595944 has 128 divisors (see below), whose sum is σ = 1125580800. Its totient is φ = 99610560.

The previous prime is 351595919. The next prime is 351595949. The reversal of 351595944 is 449595153.

351595944 is a `hidden beast` number, since 3 + 5 + 1 + 59 + 594 + 4 = 666.

It is a super-2 number, since 2×351595944² = 247239415674502272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 351595944.

It is not an unprimeable number, because it can be changed into a prime (351595949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191109 + ... + 192939.

It is an arithmetic number, because the mean of its divisors is an integer number (8793600).

Almost surely, 2^351595944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351595944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562790400).

351595944 is an abundant number, since it is smaller than the sum of its proper divisors (773984856).

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

351595944 is a wasteful number, since it uses less digits than its factorization.

351595944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1980 (or 1970 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The square root of 351595944 is about 18750.8918187909. The cubic root of 351595944 is about 705.7994010464.

The spelling of 351595944 in words is "three hundred fifty-one million, five hundred ninety-five thousand, nine hundred forty-four".