34798720 has 64 divisors (see below), whose sum is σ = 90771840. Its totient is φ = 12651520.

The previous prime is 34798717. The next prime is 34798721. The reversal of 34798720 is 2789743.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34798721) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4569 + ... + 9511.

It is an arithmetic number, because the mean of its divisors is an integer number (1418310).

Almost surely, 2^34798720 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 34798720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45385920).

34798720 is an abundant number, since it is smaller than the sum of its proper divisors (55973120).

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

34798720 is a wasteful number, since it uses less digits than its factorization.

34798720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4973 (or 4961 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 34798720 is about 5899.0439903428. The cubic root of 34798720 is about 326.4783773077.

34798720 divided by its sum of digits (40) gives a palindrome (869968).

The spelling of 34798720 in words is "thirty-four million, seven hundred ninety-eight thousand, seven hundred twenty".