345913344 has 216 divisors, whose sum is σ = 1165207680. Its totient is φ = 98574336.

The previous prime is 345913291. The next prime is 345913409. The reversal of 345913344 is 443319543.

345913344 is a `hidden beast` number, since 34 + 591 + 3 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 345913299 and 345913308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 902977 + ... + 903359.

It is an arithmetic number, because the mean of its divisors is an integer number (5394480).

Almost surely, 2^345913344 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 345913344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582603840).

345913344 is an abundant number, since it is smaller than the sum of its proper divisors (819294336).

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

345913344 is a wasteful number, since it uses less digits than its factorization.

345913344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 395 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 345913344 is about 18598.7457641638. The cubic root of 345913344 is about 701.9762818587.

The spelling of 345913344 in words is "three hundred forty-five million, nine hundred thirteen thousand, three hundred forty-four".