345461760 has 660 divisors, whose sum is σ = 1524761172. Its totient is φ = 74317824.

The previous prime is 345461759. The next prime is 345461801. The reversal of 345461760 is 67164543.

It is a happy number.

345461760 is a `hidden beast` number, since 34 + 5 + 4 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 199148544 + 146313216 = 14112^2 + 12096^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 20321272 + ... + 20321288.

Almost surely, 2^345461760 is an apocalyptic number.

345461760 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 345461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (762380586).

345461760 is an abundant number, since it is smaller than the sum of its proper divisors (1179299412).

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

345461760 is a wasteful number, since it uses less digits than its factorization.

345461760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 345461760 is about 18586.6016259025. The cubic root of 345461760 is about 701.6706761249.

The spelling of 345461760 in words is "three hundred forty-five million, four hundred sixty-one thousand, seven hundred sixty".