345627624 has 64 divisors (see below), whose sum is σ = 910540800. Its totient is φ = 109112256.

The previous prime is 345627599. The next prime is 345627641. The reversal of 345627624 is 426726543.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53817 + ... + 59895.

It is an arithmetic number, because the mean of its divisors is an integer number (14227200).

Almost surely, 2^345627624 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 345627624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (455270400).

345627624 is an abundant number, since it is smaller than the sum of its proper divisors (564913176).

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

345627624 is a wasteful number, since it uses less digits than its factorization.

345627624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6214 (or 6210 counting only the distinct ones).

The product of its digits is 241920, while the sum is 39.

The square root of 345627624 is about 18591.0630142550. The cubic root of 345627624 is about 701.7829541419.

The spelling of 345627624 in words is "three hundred forty-five million, six hundred twenty-seven thousand, six hundred twenty-four".