34906080 has 144 divisors (see below), whose sum is σ = 121059792. Its totient is φ = 8448000.

The previous prime is 34906043. The next prime is 34906087. The reversal of 34906080 is 8060943.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57780 + ... + 58380.

It is an arithmetic number, because the mean of its divisors is an integer number (840693).

Almost surely, 2^34906080 is an apocalyptic number.

34906080 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 34906080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60529896).

34906080 is an abundant number, since it is smaller than the sum of its proper divisors (86153712).

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

34906080 is a wasteful number, since it uses less digits than its factorization.

34906080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 34906080 is about 5908.1367621273. The cubic root of 34906080 is about 326.8137798208.

The spelling of 34906080 in words is "thirty-four million, nine hundred six thousand, eighty".