34364480 has 56 divisors (see below), whose sum is σ = 86657688. Its totient is φ = 12935168.

The previous prime is 34364467. The next prime is 34364489. The reversal of 34364480 is 8446343.

34364480 is nontrivially palindromic in base 13.

It can be written as a sum of positive squares in 4 ways, for example, as 7573504 + 26790976 = 2752^2 + 5176^2 .

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (34364489) 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, 2282 + ... + 8598.

Almost surely, 2^34364480 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 34364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43328844).

34364480 is an abundant number, since it is smaller than the sum of its proper divisors (52293208).

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

34364480 is a wasteful number, since it uses less digits than its factorization.

34364480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6351 (or 6341 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

The square root of 34364480 is about 5862.1224825143. The cubic root of 34364480 is about 325.1146893055.

The spelling of 34364480 in words is "thirty-four million, three hundred sixty-four thousand, four hundred eighty".