34960728 has 64 divisors (see below), whose sum is σ = 96088320. Its totient is φ = 10512000.

The previous prime is 34960727. The next prime is 34960811. The reversal of 34960728 is 82706943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34960727) 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, 39426 + ... + 40302.

It is an arithmetic number, because the mean of its divisors is an integer number (1501380).

Almost surely, 2^34960728 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 34960728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48044160).

34960728 is an abundant number, since it is smaller than the sum of its proper divisors (61127592).

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

34960728 is a wasteful number, since it uses less digits than its factorization.

34960728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 34960728 is about 5912.7597617356. The cubic root of 34960728 is about 326.9842411207.

The spelling of 34960728 in words is "thirty-four million, nine hundred sixty thousand, seven hundred twenty-eight".