34264032 has 96 divisors (see below), whose sum is σ = 99719424. Its totient is φ = 10214400.

The previous prime is 34264031. The next prime is 34264033. The reversal of 34264032 is 23046243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34264031) and next prime (34264033).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 34263993 and 34264011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34264031) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 74748 + ... + 75204.

It is an arithmetic number, because the mean of its divisors is an integer number (1038744).

Almost surely, 2^34264032 is an apocalyptic number.

34264032 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 34264032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49859712).

34264032 is an abundant number, since it is smaller than the sum of its proper divisors (65455392).

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

34264032 is a wasteful number, since it uses less digits than its factorization.

34264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 34264032 is about 5853.5486672616. The cubic root of 34264032 is about 324.7976081101.

The spelling of 34264032 in words is "thirty-four million, two hundred sixty-four thousand, thirty-two".