34891956 has 144 divisors (see below), whose sum is σ = 104727168. Its totient is φ = 9676800.

The previous prime is 34891949. The next prime is 34891991. The reversal of 34891956 is 65919843.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 477936 + ... + 478008.

It is an arithmetic number, because the mean of its divisors is an integer number (727272).

Almost surely, 2^34891956 is an apocalyptic number.

34891956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34891956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52363584).

34891956 is an abundant number, since it is smaller than the sum of its proper divisors (69835212).

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

34891956 is a wasteful number, since it uses less digits than its factorization.

34891956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 177 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 34891956 is about 5906.9413404909. The cubic root of 34891956 is about 326.7696944681.

It can be divided in two parts, 3489 and 1956, that added together give a palindrome (5445).

The spelling of 34891956 in words is "thirty-four million, eight hundred ninety-one thousand, nine hundred fifty-six".