34480384 has 27 divisors (see below), whose sum is σ = 69014127. Its totient is φ = 17193216.

The previous prime is 34480363. The next prime is 34480399. The reversal of 34480384 is 48308443.

The square root of 34480384 is 5872.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 93769 + ... + 94135.

Almost surely, 2^34480384 is an apocalyptic number.

34480384 is the 5872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34480384

34480384 is an abundant number, since it is smaller than the sum of its proper divisors (34533743).

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

34480384 is an frugal number, since it uses more digits than its factorization.

34480384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The cubic root of 34480384 is about 325.4797931145.

Multiplying 34480384 by its product of nonzero digits (36864), we get a square (1271084875776 = 1127424²).

The spelling of 34480384 in words is "thirty-four million, four hundred eighty thousand, three hundred eighty-four".