34048960 has 112 divisors (see below), whose sum is σ = 93817440. Its totient is φ = 11632640.

The previous prime is 34048951. The next prime is 34049003. The reversal of 34048960 is 6984043.

34048960 = T₃₈₄ + T₃₈₅ + ... + T₆₃₈.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59556 + ... + 60124.

Almost surely, 2^34048960 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 34048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46908720).

34048960 is an abundant number, since it is smaller than the sum of its proper divisors (59768480).

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

34048960 is a wasteful number, since it uses less digits than its factorization.

34048960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614 (or 604 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 34048960 is about 5835.1486699141. The cubic root of 34048960 is about 324.1166069132.

It can be divided in two parts, 340 and 48960, that multiplied together give a square (16646400 = 4080²).

The spelling of 34048960 in words is "thirty-four million, forty-eight thousand, nine hundred sixty".