345693744 has 240 divisors, whose sum is σ = 1121178240. Its totient is φ = 102228480.

The previous prime is 345693731. The next prime is 345693757. The reversal of 345693744 is 447396543.

It is an interprime number because it is at equal distance from previous prime (345693731) and next prime (345693757).

It is a self number, because there is not a number n which added to its sum of digits gives 345693744.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2523244 + ... + 2523380.

It is an arithmetic number, because the mean of its divisors is an integer number (4671576).

Almost surely, 2^345693744 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 345693744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560589120).

345693744 is an abundant number, since it is smaller than the sum of its proper divisors (775484496).

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

345693744 is a wasteful number, since it uses less digits than its factorization.

345693744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 212 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 345693744 is about 18592.8412030007. The cubic root of 345693744 is about 701.8277026198.

The spelling of 345693744 in words is "three hundred forty-five million, six hundred ninety-three thousand, seven hundred forty-four".