309352680 has 576 divisors, whose sum is σ = 1344470400. Its totient is φ = 60963840.

The previous prime is 309352669. The next prime is 309352709. The reversal of 309352680 is 86253903.

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 143 ways as a sum of consecutive naturals, for example, 4357045 + ... + 4357115.

It is an arithmetic number, because the mean of its divisors is an integer number (2334150).

Almost surely, 2^309352680 is an apocalyptic number.

309352680 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 309352680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672235200).

309352680 is an abundant number, since it is smaller than the sum of its proper divisors (1035117720).

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

309352680 is a wasteful number, since it uses less digits than its factorization.

309352680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 309352680 is about 17588.4246025618. The cubic root of 309352680 is about 676.3185420303.

The spelling of 309352680 in words is "three hundred nine million, three hundred fifty-two thousand, six hundred eighty".