3873864551040 has 1536 divisors, whose sum is σ = 15554267688960. Its totient is φ = 879830138880.

The previous prime is 3873864551033. The next prime is 3873864551057. The reversal of 3873864551040 is 401554683783.

3873864551040 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 86 + 4 + 5 + 510 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8366877849 + ... + 8366878311.

It is an arithmetic number, because the mean of its divisors is an integer number (10126476360).

Almost surely, 2^{3873864551040} is an apocalyptic number.

3873864551040 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 3873864551040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7777133844480).

3873864551040 is an abundant number, since it is smaller than the sum of its proper divisors (11680403137920).

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

3873864551040 is a wasteful number, since it uses less digits than its factorization.

3873864551040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 662 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 3873864551040 in words is "three trillion, eight hundred seventy-three billion, eight hundred sixty-four million, five hundred fifty-one thousand, forty".