34633368 has 96 divisors (see below), whose sum is σ = 116962560. Its totient is φ = 8994240.

The previous prime is 34633351. The next prime is 34633381. The reversal of 34633368 is 86333643.

It is a happy number.

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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2421 + ... + 8667.

It is an arithmetic number, because the mean of its divisors is an integer number (1218360).

Almost surely, 2^34633368 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34633368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58481280).

34633368 is an abundant number, since it is smaller than the sum of its proper divisors (82329192).

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

34633368 is a wasteful number, since it uses less digits than its factorization.

34633368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6277 (or 6270 counting only the distinct ones).

The product of its digits is 93312, while the sum is 36.

The square root of 34633368 is about 5885.0121495202. The cubic root of 34633368 is about 325.9604503692.

The spelling of 34633368 in words is "thirty-four million, six hundred thirty-three thousand, three hundred sixty-eight".