3815610516480 has 352 divisors, whose sum is σ = 14767862651136. Its totient is φ = 820836827136.

The previous prime is 3815610516359. The next prime is 3815610516481. The reversal of 3815610516480 is 846150165183.

It is a super-2 number, since 2×3815610516480² (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 not an unprimeable number, because it can be changed into a prime (3815610516481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 784092 + ... + 2871588.

Almost surely, 2^{3815610516480} is an apocalyptic number.

3815610516480 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 3815610516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7383931325568).

3815610516480 is an abundant number, since it is smaller than the sum of its proper divisors (10952252134656).

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

3815610516480 is a wasteful number, since it uses less digits than its factorization.

3815610516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2087549 (or 2087531 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 3815610516480 in words is "three trillion, eight hundred fifteen billion, six hundred ten million, five hundred sixteen thousand, four hundred eighty".