3975194482560 has 2048 divisors, whose sum is σ = 17823006720000. Its totient is φ = 816415801344.

The previous prime is 3975194482543. The next prime is 3975194482619. The reversal of 3975194482560 is 652844915793.

3975194482560 is a `hidden beast` number, since 3 + 9 + 7 + 5 + 1 + 94 + 482 + 5 + 60 = 666.

It is a super-2 number, since 2×3975194482560² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8298944401 + ... + 8298944879.

It is an arithmetic number, because the mean of its divisors is an integer number (8702640000).

It is a 1-persistent number, because it is pandigital, but 2⋅3975194482560 = 7950388965120 is not.

Almost surely, 2^{3975194482560} is an apocalyptic number.

3975194482560 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 3975194482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8911503360000).

3975194482560 is an abundant number, since it is smaller than the sum of its proper divisors (13847812237440).

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

3975194482560 is a wasteful number, since it uses less digits than its factorization.

3975194482560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 3975194482560 in words is "three trillion, nine hundred seventy-five billion, one hundred ninety-four million, four hundred eighty-two thousand, five hundred sixty".