3485206436580 has 576 divisors, whose sum is σ = 11783929248000. Its totient is φ = 833675673600.

The previous prime is 3485206436563. The next prime is 3485206436603. The reversal of 3485206436580 is 856346025843.

3485206436580 is a `hidden beast` number, since 3 + 4 + 8 + 5 + 20 + 6 + 4 + 36 + 580 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7762152196 + ... + 7762152644.

It is an arithmetic number, because the mean of its divisors is an integer number (20458210500).

Almost surely, 2^{3485206436580} is an apocalyptic number.

3485206436580 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 3485206436580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891964624000).

3485206436580 is an abundant number, since it is smaller than the sum of its proper divisors (8298722811420).

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

3485206436580 is a wasteful number, since it uses less digits than its factorization.

3485206436580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 857 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 54.

The spelling of 3485206436580 in words is "three trillion, four hundred eighty-five billion, two hundred six million, four hundred thirty-six thousand, five hundred eighty".