34821864 has 144 divisors (see below), whose sum is σ = 118678560. Its totient is φ = 9028800.

The previous prime is 34821841. The next prime is 34821869. The reversal of 34821864 is 46812843.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 not an unprimeable number, because it can be changed into a prime (34821869) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60699 + ... + 61269.

Almost surely, 2^34821864 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 34821864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59339280).

34821864 is an abundant number, since it is smaller than the sum of its proper divisors (83856696).

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

34821864 is a wasteful number, since it uses less digits than its factorization.

34821864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 594 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34821864 is about 5901.0053380759. The cubic root of 34821864 is about 326.5507395580.

The spelling of 34821864 in words is "thirty-four million, eight hundred twenty-one thousand, eight hundred sixty-four".