351442944 has 144 divisors (see below), whose sum is σ = 1060441200. Its totient is φ = 111919104.

The previous prime is 351442907. The next prime is 351442957. The reversal of 351442944 is 449244153.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 351442899 and 351442908.

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, 423522 + ... + 424350.

It is an arithmetic number, because the mean of its divisors is an integer number (7364175).

Almost surely, 2^351442944 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 351442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530220600).

351442944 is an abundant number, since it is smaller than the sum of its proper divisors (708998256).

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

351442944 is a wasteful number, since it uses less digits than its factorization.

351442944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880 (or 857 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 351442944 is about 18746.8115689042. The cubic root of 351442944 is about 705.6970079653.

The spelling of 351442944 in words is "three hundred fifty-one million, four hundred forty-two thousand, nine hundred forty-four".