34972128 has 96 divisors (see below), whose sum is σ = 108047520. Its totient is φ = 10967040.

The previous prime is 34972109. The next prime is 34972151. The reversal of 34972128 is 82127943.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 34972092 and 34972101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13498 + ... + 15878.

It is an arithmetic number, because the mean of its divisors is an integer number (1125495).

Almost surely, 2^34972128 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 34972128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54023760).

34972128 is an abundant number, since it is smaller than the sum of its proper divisors (73075392).

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

34972128 is a wasteful number, since it uses less digits than its factorization.

34972128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2417 (or 2403 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 34972128 is about 5913.7237000049. The cubic root of 34972128 is about 327.0197782835.

It can be divided in two parts, 3497 and 2128, that added together give a square (5625 = 75²).

The spelling of 34972128 in words is "thirty-four million, nine hundred seventy-two thousand, one hundred twenty-eight".