34962912 has 72 divisors (see below), whose sum is σ = 100848384. Its totient is φ = 11487744.

The previous prime is 34962887. The next prime is 34962919. The reversal of 34962912 is 21926943.

34962912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34962919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20193 + ... + 21855.

It is an arithmetic number, because the mean of its divisors is an integer number (1400672).

Almost surely, 2^34962912 is an apocalyptic number.

34962912 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 34962912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50424192).

34962912 is an abundant number, since it is smaller than the sum of its proper divisors (65885472).

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

34962912 is a wasteful number, since it uses less digits than its factorization.

34962912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1741 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 34962912 is about 5912.9444441835. The cubic root of 34962912 is about 326.9910498911.

The spelling of 34962912 in words is "thirty-four million, nine hundred sixty-two thousand, nine hundred twelve".