34662336144 has 80 divisors (see below), whose sum is σ = 90339307200. Its totient is φ = 11451967488.

The previous prime is 34662336119. The next prime is 34662336151. The reversal of 34662336144 is 44163326643.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 34662336096 and 34662336105.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2682852 + ... + 2695740.

It is an arithmetic number, because the mean of its divisors is an integer number (1129241340).

Almost surely, 2^34662336144 is an apocalyptic number.

It is an amenable number.

34662336144 is an abundant number, since it is smaller than the sum of its proper divisors (55676971056).

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

34662336144 is a wasteful number, since it uses less digits than its factorization.

34662336144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13392 (or 13386 counting only the distinct ones).

The product of its digits is 746496, while the sum is 42.

The spelling of 34662336144 in words is "thirty-four billion, six hundred sixty-two million, three hundred thirty-six thousand, one hundred forty-four".