34293672 has 128 divisors (see below), whose sum is σ = 111993600. Its totient is φ = 9517824.

The previous prime is 34293653. The next prime is 34293673. The reversal of 34293672 is 27639243.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

Its product of digits (54432) is a multiple of the sum of its prime factors (672).

It is not an unprimeable number, because it can be changed into a prime (34293673) 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, 55638 + ... + 56250.

It is an arithmetic number, because the mean of its divisors is an integer number (874950).

Almost surely, 2^34293672 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 34293672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55996800).

34293672 is an abundant number, since it is smaller than the sum of its proper divisors (77699928).

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

34293672 is a wasteful number, since it uses less digits than its factorization.

34293672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 662 counting only the distinct ones).

The product of its digits is 54432, while the sum is 36.

The square root of 34293672 is about 5856.0799174875. The cubic root of 34293672 is about 324.8912361892.

The spelling of 34293672 in words is "thirty-four million, two hundred ninety-three thousand, six hundred seventy-two".