34048480 has 48 divisors (see below), whose sum is σ = 80864784. Its totient is φ = 13547520.

The previous prime is 34048477. The next prime is 34048493. The reversal of 34048480 is 8484043.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38119 + ... + 39001.

It is an arithmetic number, because the mean of its divisors is an integer number (1684683).

Almost surely, 2^34048480 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 34048480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40432392).

34048480 is an abundant number, since it is smaller than the sum of its proper divisors (46816304).

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

34048480 is a wasteful number, since it uses less digits than its factorization.

34048480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 31.

The square root of 34048480 is about 5835.1075397117. The cubic root of 34048480 is about 324.1150838446.

The spelling of 34048480 in words is "thirty-four million, forty-eight thousand, four hundred eighty".