3801863708640 has 288 divisors, whose sum is σ = 13130250063840. Its totient is φ = 1001627860992.

The previous prime is 3801863708627. The next prime is 3801863708693. The reversal of 3801863708640 is 468073681083.

3801863708640 is a `hidden beast` number, since 3 + 80 + 1 + 86 + 370 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167493772 + ... + 167516468.

It is an arithmetic number, because the mean of its divisors is an integer number (45591146055).

Almost surely, 2^{3801863708640} is an apocalyptic number.

3801863708640 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 3801863708640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565125031920).

3801863708640 is an abundant number, since it is smaller than the sum of its proper divisors (9328386355200).

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

3801863708640 is a wasteful number, since it uses less digits than its factorization.

3801863708640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24114 (or 24103 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 3801863708640 in words is "three trillion, eight hundred one billion, eight hundred sixty-three million, seven hundred eight thousand, six hundred forty".