34578880 has 112 divisors (see below), whose sum is σ = 96560640. Its totient is φ = 11547648.

The previous prime is 34578871. The next prime is 34578881. The reversal of 34578880 is 8887543.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34578881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96141 + ... + 96499.

Almost surely, 2^34578880 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 34578880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48280320).

34578880 is an abundant number, since it is smaller than the sum of its proper divisors (61981760).

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

34578880 is a wasteful number, since it uses less digits than its factorization.

34578880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 43.

The square root of 34578880 is about 5880.3809400412. The cubic root of 34578880 is about 325.7894182451.

The spelling of 34578880 in words is "thirty-four million, five hundred seventy-eight thousand, eight hundred eighty".