3971390290560 has 3456 divisors, whose sum is σ = 18745726708800. Its totient is φ = 800124272640.

The previous prime is 3971390290559. The next prime is 3971390290597. The reversal of 3971390290560 is 650920931793.

It is a happy number.

3971390290560 is a `hidden beast` number, since 3 + 9 + 71 + 3 + 9 + 0 + 2 + 9 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×3971390290560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3971390290497 and 3971390290506.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 54402606684 + ... + 54402606756.

Almost surely, 2^{3971390290560} is an apocalyptic number.

3971390290560 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 3971390290560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9372863354400).

3971390290560 is an abundant number, since it is smaller than the sum of its proper divisors (14774336418240).

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

3971390290560 is a wasteful number, since it uses less digits than its factorization.

3971390290560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2755620, while the sum is 54.

The spelling of 3971390290560 in words is "three trillion, nine hundred seventy-one billion, three hundred ninety million, two hundred ninety thousand, five hundred sixty".