34668480 has 336 divisors, whose sum is σ = 141768576. Its totient is φ = 7096320.

The previous prime is 34668467. The next prime is 34668481. The reversal of 34668480 is 8486643.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34668481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517407 + ... + 517473.

Almost surely, 2^34668480 is an apocalyptic number.

34668480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70884288).

34668480 is an abundant number, since it is smaller than the sum of its proper divisors (107100096).

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

34668480 is a wasteful number, since it uses less digits than its factorization.

34668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 34668480 is about 5887.9945652149. The cubic root of 34668480 is about 326.0705682353.

The spelling of 34668480 in words is "thirty-four million, six hundred sixty-eight thousand, four hundred eighty".