3962970463680 has 560 divisors, whose sum is σ = 14698267499520. Its totient is φ = 1012292370432.

The previous prime is 3962970463633. The next prime is 3962970463681. The reversal of 3962970463680 is 863640792693.

3962970463680 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 97 + 0 + 463 + 6 + 80 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962970463681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 95442604 + ... + 95484116.

Almost surely, 2^{3962970463680} is an apocalyptic number.

3962970463680 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 3962970463680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349133749760).

3962970463680 is an abundant number, since it is smaller than the sum of its proper divisors (10735297035840).

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

3962970463680 is a wasteful number, since it uses less digits than its factorization.

3962970463680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41698 (or 41679 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 3962970463680 in words is "three trillion, nine hundred sixty-two billion, nine hundred seventy million, four hundred sixty-three thousand, six hundred eighty".