34563672 has 160 divisors (see below), whose sum is σ = 114040080. Its totient is φ = 9642240.

The previous prime is 34563671. The next prime is 34563689. The reversal of 34563672 is 27636543.

34563672 is a `hidden beast` number, since 34 + 563 + 67 + 2 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34563671) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92478 + ... + 92850.

Almost surely, 2^34563672 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 34563672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57020040).

34563672 is an abundant number, since it is smaller than the sum of its proper divisors (79476408).

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

34563672 is a wasteful number, since it uses less digits than its factorization.

34563672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 402 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 34563672 is about 5879.0876843265. The cubic root of 34563672 is about 325.7416498577.

The spelling of 34563672 in words is "thirty-four million, five hundred sixty-three thousand, six hundred seventy-two".