34579440 has 160 divisors (see below), whose sum is σ = 136181760. Its totient is φ = 7900416.

The previous prime is 34579429. The next prime is 34579459. The reversal of 34579440 is 4497543.

34579440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 34579395 and 34579404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13977 + ... + 16263.

It is an arithmetic number, because the mean of its divisors is an integer number (851136).

Almost surely, 2^34579440 is an apocalyptic number.

34579440 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 34579440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68090880).

34579440 is an abundant number, since it is smaller than the sum of its proper divisors (101602320).

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

34579440 is a wasteful number, since it uses less digits than its factorization.

34579440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 34579440 is about 5880.4285558112. The cubic root of 34579440 is about 325.7911769399.

The spelling of 34579440 in words is "thirty-four million, five hundred seventy-nine thousand, four hundred forty".