34225632 has 96 divisors (see below), whose sum is σ = 114105600. Its totient is φ = 9777024.

The previous prime is 34225627. The next prime is 34225637. The reversal of 34225632 is 23652243.

34225632 is a `hidden beast` number, since 3 + 4 + 2 + 25 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (34225627) and next prime (34225637).

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

It is a super-3 number, since 3×34225632³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 34225596 and 34225605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34225637) 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, 3219 + ... + 8877.

It is an arithmetic number, because the mean of its divisors is an integer number (1188600).

Almost surely, 2^34225632 is an apocalyptic number.

34225632 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 34225632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57052800).

34225632 is an abundant number, since it is smaller than the sum of its proper divisors (79879968).

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

34225632 is a wasteful number, since it uses less digits than its factorization.

34225632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5685 (or 5671 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 34225632 is about 5850.2676861833. The cubic root of 34225632 is about 324.6762282493.

Adding to 34225632 its reverse (23652243), we get a palindrome (57877875).

The spelling of 34225632 in words is "thirty-four million, two hundred twenty-five thousand, six hundred thirty-two".