3815881481600 has 192 divisors, whose sum is σ = 9572542675200. Its totient is φ = 1502752204800.

The previous prime is 3815881481579. The next prime is 3815881481609. The reversal of 3815881481600 is 61841885183.

It is a super-2 number, since 2×3815881481600² (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 (3815881481609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167889437 + ... + 167912163.

It is an arithmetic number, because the mean of its divisors is an integer number (49856993100).

Almost surely, 2^{3815881481600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3815881481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4786271337600).

3815881481600 is an abundant number, since it is smaller than the sum of its proper divisors (5756661193600).

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

3815881481600 is a wasteful number, since it uses less digits than its factorization.

3815881481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23561 (or 23544 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 53.

The spelling of 3815881481600 in words is "three trillion, eight hundred fifteen billion, eight hundred eighty-one million, four hundred eighty-one thousand, six hundred".