3862613440560 has 320 divisors, whose sum is σ = 14459737374720. Its totient is φ = 833233443840.

The previous prime is 3862613440549. The next prime is 3862613440643. The reversal of 3862613440560 is 650443162683.

It is a super-2 number, since 2×3862613440560² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8164905 + ... + 8625015.

It is an arithmetic number, because the mean of its divisors is an integer number (45186679296).

Almost surely, 2^{3862613440560} is an apocalyptic number.

3862613440560 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 3862613440560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229868687360).

3862613440560 is an abundant number, since it is smaller than the sum of its proper divisors (10597123934160).

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

3862613440560 is a wasteful number, since it uses less digits than its factorization.

3862613440560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460416 (or 460410 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 3862613440560 in words is "three trillion, eight hundred sixty-two billion, six hundred thirteen million, four hundred forty thousand, five hundred sixty".