3864651655040 has 256 divisors, whose sum is σ = 10137328588800. Its totient is φ = 1397189713920.

The previous prime is 3864651655003. The next prime is 3864651655057. The reversal of 3864651655040 is 405561564683.

It is a super-2 number, since 2×3864651655040² (a number of 26 digits) contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1929430679 + ... + 1929432681.

It is an arithmetic number, because the mean of its divisors is an integer number (39598939800).

Almost surely, 2^{3864651655040} 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 3864651655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5068664294400).

3864651655040 is an abundant number, since it is smaller than the sum of its proper divisors (6272676933760).

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

3864651655040 is a wasteful number, since it uses less digits than its factorization.

3864651655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3485 (or 3473 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 53.

The spelling of 3864651655040 in words is "three trillion, eight hundred sixty-four billion, six hundred fifty-one million, six hundred fifty-five thousand, forty".