34644133824 has 168 divisors, whose sum is σ = 98921206272. Its totient is φ = 10688663040.

The previous prime is 34644133807. The next prime is 34644133841. The reversal of 34644133824 is 42833144643.

It is an interprime number because it is at equal distance from previous prime (34644133807) and next prime (34644133841).

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, 3143107 + ... + 3154109.

It is an arithmetic number, because the mean of its divisors is an integer number (588816704).

Almost surely, 2^34644133824 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 34644133824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49460603136).

34644133824 is an abundant number, since it is smaller than the sum of its proper divisors (64277072448).

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

34644133824 is a wasteful number, since it uses less digits than its factorization.

34644133824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11062 counting only the distinct ones).

The product of its digits is 663552, while the sum is 42.

The spelling of 34644133824 in words is "thirty-four billion, six hundred forty-four million, one hundred thirty-three thousand, eight hundred twenty-four".