3864548136960 has 768 divisors, whose sum is σ = 15723227520000. Its totient is φ = 882003935232.

The previous prime is 3864548136923. The next prime is 3864548136961. The reversal of 3864548136960 is 696318454683.

3864548136960 is a `hidden beast` number, since 3 + 8 + 64 + 5 + 481 + 3 + 6 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3864548136961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1952777251 + ... + 1952779229.

It is an arithmetic number, because the mean of its divisors is an integer number (20472952500).

Almost surely, 2^{3864548136960} is an apocalyptic number.

3864548136960 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 3864548136960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7861613760000).

3864548136960 is an abundant number, since it is smaller than the sum of its proper divisors (11858679383040).

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

3864548136960 is a wasteful number, since it uses less digits than its factorization.

3864548136960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3031 (or 3005 counting only the distinct ones).

The product of its (nonzero) digits is 89579520, while the sum is 63.

The spelling of 3864548136960 in words is "three trillion, eight hundred sixty-four billion, five hundred forty-eight million, one hundred thirty-six thousand, nine hundred sixty".