34957972 has 36 divisors (see below), whose sum is σ = 72394560. Its totient is φ = 14723184.

The previous prime is 34957961. The next prime is 34958029. The reversal of 34957972 is 27975943.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10053 + ... + 13075.

It is an arithmetic number, because the mean of its divisors is an integer number (2010960).

Almost surely, 2^34957972 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 34957972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36197280).

34957972 is an abundant number, since it is smaller than the sum of its proper divisors (37436588).

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

34957972 is a wasteful number, since it uses less digits than its factorization.

34957972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3100 (or 3091 counting only the distinct ones).

The product of its digits is 476280, while the sum is 46.

The square root of 34957972 is about 5912.5267018425. The cubic root of 34957972 is about 326.9756486962.

The spelling of 34957972 in words is "thirty-four million, nine hundred fifty-seven thousand, nine hundred seventy-two".