34526772 has 162 divisors, whose sum is σ = 108999618. Its totient is φ = 9180864.

The previous prime is 34526771. The next prime is 34526783. The reversal of 34526772 is 27762543.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 933156 = 5796^2 + 966^2 .

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

Its product of digits (70560) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34526771) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 933138 + ... + 933174.

Almost surely, 2^34526772 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 34526772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54499809).

34526772 is an abundant number, since it is smaller than the sum of its proper divisors (74472846).

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

34526772 is a wasteful number, since it uses less digits than its factorization.

34526772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 72 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 34526772 is about 5875.9486042681. The cubic root of 34526772 is about 325.6256885398.

The spelling of 34526772 in words is "thirty-four million, five hundred twenty-six thousand, seven hundred seventy-two".