347401790464 has 99 divisors (see below), whose sum is σ = 704989336233. Its totient is φ = 171107500032.

The previous prime is 347401790453. The next prime is 347401790471. The reversal of 347401790464 is 464097104743.

The square root of 347401790464 is 589408.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6121497600 + 341280292864 = 78240^2 + 584192^2 .

It is a super-2 number, since 2×347401790464² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2131299247 + ... + 2131299409.

Almost surely, 2^347401790464 is an apocalyptic number.

347401790464 is the 589408-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347401790464

347401790464 is an abundant number, since it is smaller than the sum of its proper divisors (357587545769).

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

347401790464 is an frugal number, since it uses more digits than its factorization.

347401790464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 49.

Multiplying 347401790464 by its sum of digits (49), we get a square (17022687732736 = 4125856²).

The spelling of 347401790464 in words is "three hundred forty-seven billion, four hundred one million, seven hundred ninety thousand, four hundred sixty-four".