345923760 has 320 divisors, whose sum is σ = 1351913472. Its totient is φ = 71221248.

The previous prime is 345923723. The next prime is 345923771. The reversal of 345923760 is 67329543.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026312 + ... + 1026648.

Almost surely, 2^345923760 is an apocalyptic number.

345923760 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 345923760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675956736).

345923760 is an abundant number, since it is smaller than the sum of its proper divisors (1005989712).

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

345923760 is a wasteful number, since it uses less digits than its factorization.

345923760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 345923760 is about 18599.0257809381. The cubic root of 345923760 is about 701.9833276614.

The spelling of 345923760 in words is "three hundred forty-five million, nine hundred twenty-three thousand, seven hundred sixty".