3968121815010 has 160 divisors (see below), whose sum is σ = 10730187333360. Its totient is φ = 1052187107328.

The previous prime is 3968121814933. The next prime is 3968121815029. The reversal of 3968121815010 is 105181218693.

3968121815010 is a `hidden beast` number, since 3 + 9 + 68 + 1 + 2 + 1 + 81 + 501 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2252223549081 + 1715898265929 = 1500741^2 + 1309923^2 .

It is a super-2 number, since 2×3968121815010² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 321846526 + ... + 321858854.

Almost surely, 2^{3968121815010} is an apocalyptic number.

3968121815010 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3968121815010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5365093666680).

3968121815010 is an abundant number, since it is smaller than the sum of its proper divisors (6762065518350).

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

3968121815010 is a wasteful number, since it uses less digits than its factorization.

3968121815010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14562 (or 14553 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 3968121815010 in words is "three trillion, nine hundred sixty-eight billion, one hundred twenty-one million, eight hundred fifteen thousand, ten".