3874583268864 has 2400 divisors, whose sum is σ = 15646567305600. Its totient is φ = 942257111040.

The previous prime is 3874583268859. The next prime is 3874583268869. The reversal of 3874583268864 is 4688623854783.

3874583268864 is a `hidden beast` number, since 3 + 8 + 7 + 458 + 32 + 6 + 88 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (3874583268859) and next prime (3874583268869).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3874583268792 and 3874583268801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3874583268869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 27874699707 + ... + 27874699845.

It is an arithmetic number, because the mean of its divisors is an integer number (6519403044).

Almost surely, 2^{3874583268864} 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 3874583268864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7823283652800).

3874583268864 is an abundant number, since it is smaller than the sum of its proper divisors (11771984036736).

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

3874583268864 is a wasteful number, since it uses less digits than its factorization.

3874583268864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 234 counting only the distinct ones).

The product of its digits is 1486356480, while the sum is 72.

The spelling of 3874583268864 in words is "three trillion, eight hundred seventy-four billion, five hundred eighty-three million, two hundred sixty-eight thousand, eight hundred sixty-four".