34164972 has 72 divisors (see below), whose sum is σ = 89893440. Its totient is φ = 10932480.

The previous prime is 34164961. The next prime is 34164973. The reversal of 34164972 is 27946143.

34164972 is a `hidden beast` number, since 3 + 4 + 1 + 649 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (34164973) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116458 + ... + 116750.

It is an arithmetic number, because the mean of its divisors is an integer number (1248520).

Almost surely, 2^34164972 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 34164972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44946720).

34164972 is an abundant number, since it is smaller than the sum of its proper divisors (55728468).

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

34164972 is a wasteful number, since it uses less digits than its factorization.

34164972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 418 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 34164972 is about 5845.0810088484. The cubic root of 34164972 is about 324.4843008764.

The spelling of 34164972 in words is "thirty-four million, one hundred sixty-four thousand, nine hundred seventy-two".