345597840 has 400 divisors, whose sum is σ = 1447585920. Its totient is φ = 74649600.

The previous prime is 345597823. The next prime is 345597853. The reversal of 345597840 is 48795543.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861640 + ... + 862040.

Almost surely, 2^345597840 is an apocalyptic number.

345597840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345597840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723792960).

345597840 is an abundant number, since it is smaller than the sum of its proper divisors (1101988080).

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

345597840 is a wasteful number, since it uses less digits than its factorization.

345597840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 345597840 is about 18590.2619669546. The cubic root of 345597840 is about 701.7627951592.

The spelling of 345597840 in words is "three hundred forty-five million, five hundred ninety-seven thousand, eight hundred forty".