3985497034560 has 448 divisors, whose sum is σ = 14345273986560. Its totient is φ = 1041365237760.

The previous prime is 3985497034507. The next prime is 3985497034657. The reversal of 3985497034560 is 654307945893.

3985497034560 is a `hidden beast` number, since 3 + 9 + 8 + 549 + 7 + 0 + 34 + 56 + 0 = 666.

3985497034560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3985497034560² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 138597144 + ... + 138625896.

Almost surely, 2^{3985497034560} is an apocalyptic number.

3985497034560 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 3985497034560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7172636993280).

3985497034560 is an abundant number, since it is smaller than the sum of its proper divisors (10359776952000).

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

3985497034560 is a wasteful number, since it uses less digits than its factorization.

3985497034560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29103 (or 29087 counting only the distinct ones).

The product of its (nonzero) digits is 97977600, while the sum is 63.

The spelling of 3985497034560 in words is "three trillion, nine hundred eighty-five billion, four hundred ninety-seven million, thirty-four thousand, five hundred sixty".