347290944 has 336 divisors, whose sum is σ = 1249436160. Its totient is φ = 82667520.

The previous prime is 347290903. The next prime is 347290963. The reversal of 347290944 is 449092743.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×347290944² = 241221999568822272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 347290896 and 347290905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2498427 + ... + 2498565.

It is an arithmetic number, because the mean of its divisors is an integer number (3718560).

Almost surely, 2^347290944 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 347290944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624718080).

347290944 is an abundant number, since it is smaller than the sum of its proper divisors (902145216).

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

347290944 is a wasteful number, since it uses less digits than its factorization.

347290944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The square root of 347290944 is about 18635.7437200666. The cubic root of 347290944 is about 702.9069211131.

The spelling of 347290944 in words is "three hundred forty-seven million, two hundred ninety thousand, nine hundred forty-four".