34231680 has 256 divisors, whose sum is σ = 139046400. Its totient is φ = 7796736.

The previous prime is 34231649. The next prime is 34231699. The reversal of 34231680 is 8613243.

It is a happy number.

34231680 is a `hidden beast` number, since 342 + 316 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 120819 + ... + 121101.

It is an arithmetic number, because the mean of its divisors is an integer number (543150).

Almost surely, 2^34231680 is an apocalyptic number.

34231680 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 34231680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69523200).

34231680 is an abundant number, since it is smaller than the sum of its proper divisors (104814720).

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

34231680 is a wasteful number, since it uses less digits than its factorization.

34231680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 34231680 is about 5850.7845627745. The cubic root of 34231680 is about 324.6953515989.

The spelling of 34231680 in words is "thirty-four million, two hundred thirty-one thousand, six hundred eighty".