34086240 has 72 divisors (see below), whose sum is σ = 116324208. Its totient is φ = 9089280.

The previous prime is 34086197. The next prime is 34086271. The reversal of 34086240 is 4268043.

34086240 is a `hidden beast` number, since 34 + 0 + 8 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10396 + ... + 13275.

It is an arithmetic number, because the mean of its divisors is an integer number (1615614).

Almost surely, 2^34086240 is an apocalyptic number.

34086240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34086240 is an abundant number, since it is smaller than the sum of its proper divisors (82237968).

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

34086240 is a wasteful number, since it uses less digits than its factorization.

34086240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23692 (or 23681 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 34086240 is about 5838.3422304623. The cubic root of 34086240 is about 324.2348548704.

The spelling of 34086240 in words is "thirty-four million, eighty-six thousand, two hundred forty".