34906272 has 48 divisors (see below), whose sum is σ = 95618880. Its totient is φ = 11128832.

The previous prime is 34906271. The next prime is 34906273. The reversal of 34906272 is 27260943.

It is an interprime number because it is at equal distance from previous prime (34906271) and next prime (34906273).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34906271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5697 + ... + 10112.

It is an arithmetic number, because the mean of its divisors is an integer number (1992060).

Almost surely, 2^34906272 is an apocalyptic number.

34906272 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34906272 is an abundant number, since it is smaller than the sum of its proper divisors (60712608).

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

34906272 is a wasteful number, since it uses less digits than its factorization.

34906272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15845 (or 15837 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 34906272 is about 5908.1530108825. The cubic root of 34906272 is about 326.8143790300.

The spelling of 34906272 in words is "thirty-four million, nine hundred six thousand, two hundred seventy-two".