34772328 has 96 divisors (see below), whose sum is σ = 100988160. Its totient is φ = 11197440.

The previous prime is 34772323. The next prime is 34772333. The reversal of 34772328 is 82327743.

It is an interprime number because it is at equal distance from previous prime (34772323) and next prime (34772333).

It is a super-2 number, since 2×34772328² = 2418229589079168, which contains 22 as substring.

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 = 34772292 and 34772301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34772323) 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, 59976 + ... + 60552.

It is an arithmetic number, because the mean of its divisors is an integer number (1051960).

Almost surely, 2^34772328 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 34772328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50494080).

34772328 is an abundant number, since it is smaller than the sum of its proper divisors (66215832).

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

34772328 is a wasteful number, since it uses less digits than its factorization.

34772328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The square root of 34772328 is about 5896.8065934029. The cubic root of 34772328 is about 326.3958206645.

The spelling of 34772328 in words is "thirty-four million, seven hundred seventy-two thousand, three hundred twenty-eight".