3882962624320 has 112 divisors (see below), whose sum is σ = 9958238288208. Its totient is φ = 1433611468800.

The previous prime is 3882962624293. The next prime is 3882962624323. The reversal of 3882962624320 is 234262692883.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 232509124864 + 3650453499456 = 482192^2 + 1910616^2 .

It is a super-2 number, since 2×3882962624320² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3882962624323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 95147920 + ... + 95188720.

It is an arithmetic number, because the mean of its divisors is an integer number (88912841859).

Almost surely, 2^{3882962624320} is an apocalyptic number.

It is an amenable number.

3882962624320 is an abundant number, since it is smaller than the sum of its proper divisors (6075275663888).

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

3882962624320 is a wasteful number, since it uses less digits than its factorization.

3882962624320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63708 (or 63698 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 55.

The spelling of 3882962624320 in words is "three trillion, eight hundred eighty-two billion, nine hundred sixty-two million, six hundred twenty-four thousand, three hundred twenty".