34678480 has 80 divisors (see below), whose sum is σ = 86137344. Its totient is φ = 12953600.

The previous prime is 34678471. The next prime is 34678481. The reversal of 34678480 is 8487643.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34678480² = 2405193950220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34678481) 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, 86280 + ... + 86680.

Almost surely, 2^34678480 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 34678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43068672).

34678480 is an abundant number, since it is smaller than the sum of its proper divisors (51458864).

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

34678480 is a wasteful number, since it uses less digits than its factorization.

34678480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 34678480 is about 5888.8436895540. The cubic root of 34678480 is about 326.1019165208.

The spelling of 34678480 in words is "thirty-four million, six hundred seventy-eight thousand, four hundred eighty".