345790464 has 96 divisors (see below), whose sum is σ = 962357760. Its totient is φ = 110206976.

The previous prime is 345790463. The next prime is 345790469. The reversal of 345790464 is 464097543.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (345790463) 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, 140089 + ... + 142535.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^345790464 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 345790464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481178880).

345790464 is an abundant number, since it is smaller than the sum of its proper divisors (616567296).

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

345790464 is a wasteful number, since it uses less digits than its factorization.

345790464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 42.

The square root of 345790464 is about 18595.4420221731. The cubic root of 345790464 is about 701.8931501890.

The spelling of 345790464 in words is "three hundred forty-five million, seven hundred ninety thousand, four hundred sixty-four".