3962687422500 has 405 divisors, whose sum is σ = 13107579826341. Its totient is φ = 1009020672000.

The previous prime is 3962687422493. The next prime is 3962687422531. The reversal of 3962687422500 is 52247862693.

The square root of 3962687422500 is 1990650.

It is a perfect power (a square), and thus also a powerful number.

3962687422500 is a `hidden beast` number, since 3 + 9 + 6 + 2 + 68 + 74 + 2 + 2 + 500 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 510404509476 + 3452282913024 = 714426^2 + 1858032^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 6867742212 + ... + 6867742788.

Almost surely, 2^{3962687422500} is an apocalyptic number.

3962687422500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3962687422500 is the 1990650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3962687422500

3962687422500 is an abundant number, since it is smaller than the sum of its proper divisors (9144892403841).

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

3962687422500 is an equidigital number, since it uses as much as digits as its factorization.

3962687422500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3962687422500 in words is "three trillion, nine hundred sixty-two billion, six hundred eighty-seven million, four hundred twenty-two thousand, five hundred".