345759744 has 112 divisors (see below), whose sum is σ = 1006571520. Its totient is φ = 104693760.

The previous prime is 345759727. The next prime is 345759751. The reversal of 345759744 is 447957543.

345759744 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 345759693 and 345759702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 269697 + ... + 270975.

Almost surely, 2^345759744 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 345759744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503285760).

345759744 is an abundant number, since it is smaller than the sum of its proper divisors (660811776).

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

345759744 is a wasteful number, since it uses less digits than its factorization.

345759744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1295 counting only the distinct ones).

The product of its digits is 2116800, while the sum is 48.

The square root of 345759744 is about 18594.6159949594. The cubic root of 345759744 is about 701.8723641945.

The spelling of 345759744 in words is "three hundred forty-five million, seven hundred fifty-nine thousand, seven hundred forty-four".