34381632 has 56 divisors (see below), whose sum is σ = 91411552. Its totient is φ = 11404800.

The previous prime is 34381631. The next prime is 34381637. The reversal of 34381632 is 23618343.

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

It is an alternating number because its digits alternate between odd and even.

It is a self number, because there is not a number n which added to its sum of digits gives 34381632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381631) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63282 + ... + 63822.

Almost surely, 2^34381632 is an apocalyptic number.

34381632 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 34381632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45705776).

34381632 is an abundant number, since it is smaller than the sum of its proper divisors (57029920).

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

34381632 is a wasteful number, since it uses less digits than its factorization.

34381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 887 (or 877 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 34381632 is about 5863.5852513629. The cubic root of 34381632 is about 325.1687707258.

Adding to 34381632 its reverse (23618343), we get a palindrome (57999975).

The spelling of 34381632 in words is "thirty-four million, three hundred eighty-one thousand, six hundred thirty-two".