34416480 has 96 divisors (see below), whose sum is σ = 123911424. Its totient is φ = 7865856.

The previous prime is 34416463. The next prime is 34416521. The reversal of 34416480 is 8461443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1762 + ... + 8481.

It is an arithmetic number, because the mean of its divisors is an integer number (1290744).

Almost surely, 2^34416480 is an apocalyptic number.

34416480 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 34416480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61955712).

34416480 is an abundant number, since it is smaller than the sum of its proper divisors (89494944).

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

34416480 is a wasteful number, since it uses less digits than its factorization.

34416480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10268 (or 10260 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 34416480 is about 5866.5560595634. The cubic root of 34416480 is about 325.2785934656.

The spelling of 34416480 in words is "thirty-four million, four hundred sixteen thousand, four hundred eighty".