34790688 has 96 divisors (see below), whose sum is σ = 103158720. Its totient is φ = 11404800.

The previous prime is 34790671. The next prime is 34790689. The reversal of 34790688 is 88609743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (34790689) 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, 57588 + ... + 58188.

It is an arithmetic number, because the mean of its divisors is an integer number (1074570).

Almost surely, 2^34790688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34790688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51579360).

34790688 is an abundant number, since it is smaller than the sum of its proper divisors (68368032).

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

34790688 is a wasteful number, since it uses less digits than its factorization.

34790688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 34790688 is about 5898.3631627766. The cubic root of 34790688 is about 326.4532568808.

The spelling of 34790688 in words is "thirty-four million, seven hundred ninety thousand, six hundred eighty-eight".