3234164194944 has 160 divisors (see below), whose sum is σ = 9631065753540. Its totient is φ = 1077355192320.

The previous prime is 3234164194939. The next prime is 3234164195039. The reversal of 3234164194944 is 4494914614323.

It is a happy number.

3234164194944 is a `hidden beast` number, since 32 + 3 + 416 + 4 + 194 + 9 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3030691028544 + 203473166400 = 1740888^2 + 451080^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16001074 + ... + 16201934.

Almost surely, 2^{3234164194944} 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 3234164194944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4815532876770).

3234164194944 is an abundant number, since it is smaller than the sum of its proper divisors (6396901558596).

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

3234164194944 is a wasteful number, since it uses less digits than its factorization.

3234164194944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202440 (or 202419 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 54.

The spelling of 3234164194944 in words is "three trillion, two hundred thirty-four billion, one hundred sixty-four million, one hundred ninety-four thousand, nine hundred forty-four".