3234790289808 has 720 divisors, whose sum is σ = 11799669772800. Its totient is φ = 808803072000.

The previous prime is 3234790289803. The next prime is 3234790289833. The reversal of 3234790289808 is 8089820974323.

3234790289808 is a `hidden beast` number, since 3 + 2 + 3 + 479 + 0 + 2 + 89 + 80 + 8 = 666.

It is a super-2 number, since 2×3234790289808² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3234790289803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1375919833 + ... + 1375922183.

It is an arithmetic number, because the mean of its divisors is an integer number (16388430240).

Almost surely, 2^{3234790289808} 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 3234790289808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5899834886400).

3234790289808 is an abundant number, since it is smaller than the sum of its proper divisors (8564879482992).

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

3234790289808 is a wasteful number, since it uses less digits than its factorization.

3234790289808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2812 (or 2792 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 3234790289808 in words is "three trillion, two hundred thirty-four billion, seven hundred ninety million, two hundred eighty-nine thousand, eight hundred eight".