34492130848 has 192 divisors, whose sum is σ = 80792328960. Its totient is φ = 14192640000.

The previous prime is 34492130831. The next prime is 34492130863. The reversal of 34492130848 is 84803129443.

It is a happy number.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 34492130798 and 34492130807.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 137418723 + ... + 137418973.

It is an arithmetic number, because the mean of its divisors is an integer number (420793380).

Almost surely, 2^34492130848 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 34492130848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40396164480).

34492130848 is an abundant number, since it is smaller than the sum of its proper divisors (46300198112).

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

34492130848 is a wasteful number, since it uses less digits than its factorization.

34492130848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 46.

It can be divided in two parts, 344921 and 30848, that added together give a square (375769 = 613²).

The spelling of 34492130848 in words is "thirty-four billion, four hundred ninety-two million, one hundred thirty thousand, eight hundred forty-eight".