3806481784560 has 640 divisors, whose sum is σ = 14804892426240. Its totient is φ = 787689197568.

The previous prime is 3806481784531. The next prime is 3806481784601. The reversal of 3806481784560 is 654871846083.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3806481784494 and 3806481784503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 251960527 + ... + 251975633.

It is an arithmetic number, because the mean of its divisors is an integer number (23132644416).

Almost surely, 2^{3806481784560} is an apocalyptic number.

3806481784560 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 3806481784560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7402446213120).

3806481784560 is an abundant number, since it is smaller than the sum of its proper divisors (10998410641680).

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

3806481784560 is a wasteful number, since it uses less digits than its factorization.

3806481784560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15365 (or 15359 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 3806481784560 in words is "three trillion, eight hundred six billion, four hundred eighty-one million, seven hundred eighty-four thousand, five hundred sixty".