34955712 has 140 divisors (see below), whose sum is σ = 113224056. Its totient is φ = 10575360.

The previous prime is 34955707. The next prime is 34955719. The reversal of 34955712 is 21755943.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34955719) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 56718 + ... + 57330.

Almost surely, 2^34955712 is an apocalyptic number.

34955712 is a gapful number since it is divisible by the number (32) 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 34955712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56612028).

34955712 is an abundant number, since it is smaller than the sum of its proper divisors (78268344).

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

34955712 is a wasteful number, since it uses less digits than its factorization.

34955712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 629 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 34955712 is about 5912.3355791092. The cubic root of 34955712 is about 326.9686023216.

The spelling of 34955712 in words is "thirty-four million, nine hundred fifty-five thousand, seven hundred twelve".