345764580 has 192 divisors, whose sum is σ = 1153958400. Its totient is φ = 77296128.

The previous prime is 345764569. The next prime is 345764597. The reversal of 345764580 is 85467543.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a zygodrome in base 14.

It is a congruent number.

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, 1090582 + ... + 1090898.

It is an arithmetic number, because the mean of its divisors is an integer number (6010200).

Almost surely, 2^345764580 is an apocalyptic number.

345764580 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 345764580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576979200).

345764580 is an abundant number, since it is smaller than the sum of its proper divisors (808193820).

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

345764580 is a wasteful number, since it uses less digits than its factorization.

345764580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The square root of 345764580 is about 18594.7460321457. The cubic root of 345764580 is about 701.8756364463.

The spelling of 345764580 in words is "three hundred forty-five million, seven hundred sixty-four thousand, five hundred eighty".