345739680 has 576 divisors, whose sum is σ = 1466180352. Its totient is φ = 72990720.

The previous prime is 345739679. The next prime is 345739697. The reversal of 345739680 is 86937543.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4736124 + ... + 4736196.

It is an arithmetic number, because the mean of its divisors is an integer number (2545452).

Almost surely, 2^345739680 is an apocalyptic number.

345739680 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 345739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (733090176).

345739680 is an abundant number, since it is smaller than the sum of its proper divisors (1120440672).

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

345739680 is a wasteful number, since it uses less digits than its factorization.

345739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 345739680 is about 18594.0764761254. The cubic root of 345739680 is about 701.8587876771.

It can be divided in two parts, 34573 and 9680, that added together give a triangular number (44253 = T₂₉₇).

The spelling of 345739680 in words is "three hundred forty-five million, seven hundred thirty-nine thousand, six hundred eighty".