34509672 has 64 divisors (see below), whose sum is σ = 96465600. Its totient is φ = 11430720.

The previous prime is 34509653. The next prime is 34509697. The reversal of 34509672 is 27690543.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 42147 + ... + 42957.

It is an arithmetic number, because the mean of its divisors is an integer number (1507275).

Almost surely, 2^34509672 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 34509672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48232800).

34509672 is an abundant number, since it is smaller than the sum of its proper divisors (61955928).

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

34509672 is a wasteful number, since it uses less digits than its factorization.

34509672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34509672 is about 5874.4933398549. The cubic root of 34509672 is about 325.5719223515.

The spelling of 34509672 in words is "thirty-four million, five hundred nine thousand, six hundred seventy-two".