34087920 has 80 divisors (see below), whose sum is σ = 106412832. Its totient is φ = 9026560.

The previous prime is 34087901. The next prime is 34087927. The reversal of 34087920 is 2978043.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34087927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41110 + ... + 41930.

Almost surely, 2^34087920 is an apocalyptic number.

34087920 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 34087920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53206416).

34087920 is an abundant number, since it is smaller than the sum of its proper divisors (72324912).

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

34087920 is a wasteful number, since it uses less digits than its factorization.

34087920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010 (or 1004 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 34087920 is about 5838.4861051475. The cubic root of 34087920 is about 324.2401816103.

The spelling of 34087920 in words is "thirty-four million, eighty-seven thousand, nine hundred twenty".