3485094238080 has 768 divisors, whose sum is σ = 15014714682240. Its totient is φ = 725235793920.

The previous prime is 3485094237983. The next prime is 3485094238103. The reversal of 3485094238080 is 808324905843.

3485094238080 is a `hidden beast` number, since 3 + 485 + 0 + 9 + 4 + 2 + 3 + 80 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38218140 + ... + 38309220.

Almost surely, 2^{3485094238080} is an apocalyptic number.

3485094238080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3485094238080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507357341120).

3485094238080 is an abundant number, since it is smaller than the sum of its proper divisors (11529620444160).

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

3485094238080 is a wasteful number, since it uses less digits than its factorization.

3485094238080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91199 (or 91184 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 3485094238080 in words is "three trillion, four hundred eighty-five billion, ninety-four million, two hundred thirty-eight thousand, eighty".