345742460 has 48 divisors (see below), whose sum is σ = 833172480. Its totient is φ = 118056000.

The previous prime is 345742433. The next prime is 345742471. The reversal of 345742460 is 64247543.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 345742460.

It is a congruent number.

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, 30221 + ... + 40059.

It is an arithmetic number, because the mean of its divisors is an integer number (17357760).

Almost surely, 2^345742460 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 345742460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416586240).

345742460 is an abundant number, since it is smaller than the sum of its proper divisors (487430020).

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

345742460 is a wasteful number, since it uses less digits than its factorization.

345742460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106 (or 10104 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 35.

The square root of 345742460 is about 18594.1512309651. The cubic root of 345742460 is about 701.8606688248.

The spelling of 345742460 in words is "three hundred forty-five million, seven hundred forty-two thousand, four hundred sixty".