34642368 has 84 divisors (see below), whose sum is σ = 100248720. Its totient is φ = 11437056.

The previous prime is 34642357. The next prime is 34642409. The reversal of 34642368 is 86324643.

It is a happy number.

34642368 is a `hidden beast` number, since 3 + 4 + 642 + 3 + 6 + 8 = 666.

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 11 ways as a sum of consecutive naturals, for example, 78693 + ... + 79131.

Almost surely, 2^34642368 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 34642368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50124360).

34642368 is an abundant number, since it is smaller than the sum of its proper divisors (65606352).

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

34642368 is a wasteful number, since it uses less digits than its factorization.

34642368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 581 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

The square root of 34642368 is about 5885.7767541761. The cubic root of 34642368 is about 325.9886831607.

It can be divided in two parts, 3464 and 2368, that added together give a cube (5832 = 18³).

The spelling of 34642368 in words is "thirty-four million, six hundred forty-two thousand, three hundred sixty-eight".