34415480 has 128 divisors (see below), whose sum is σ = 92378880. Its totient is φ = 11397120.

The previous prime is 34415477. The next prime is 34415483. The reversal of 34415480 is 8451443.

It is an interprime number because it is at equal distance from previous prime (34415477) and next prime (34415483).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34415483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 321587 + ... + 321693.

It is an arithmetic number, because the mean of its divisors is an integer number (721710).

Almost surely, 2^34415480 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 34415480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46189440).

34415480 is an abundant number, since it is smaller than the sum of its proper divisors (57963400).

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

34415480 is a wasteful number, since it uses less digits than its factorization.

34415480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 34415480 is about 5866.4708300647. The cubic root of 34415480 is about 325.2754430200.

It can be divided in two parts, 34 and 415480, that added together give a palindrome (415514).

The spelling of 34415480 in words is "thirty-four million, four hundred fifteen thousand, four hundred eighty".