3868536672 has 864 divisors, whose sum is σ = 15810971904. Its totient is φ = 914457600.

The previous prime is 3868536671. The next prime is 3868536691. The reversal of 3868536672 is 2766358683.

3868536672 = 343³ + 344³ + ... + 413³.

3868536672 is a `hidden beast` number, since 38 + 6 + 8 + 536 + 6 + 72 = 666.

3868536672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868536671) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 54486397 + ... + 54486467.

It is an arithmetic number, because the mean of its divisors is an integer number (18299736).

Almost surely, 2^3868536672 is an apocalyptic number.

3868536672 is a gapful number since it is divisible by the number (32) 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 3868536672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7905485952).

3868536672 is an abundant number, since it is smaller than the sum of its proper divisors (11942435232).

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

3868536672 is a wasteful number, since it uses less digits than its factorization.

3868536672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The square root of 3868536672 is about 62197.5616242309. The cubic root of 3868536672 is about 1569.8165596323.

It can be divided in two parts, 38685 and 36672, that added together give a palindrome (75357).

The spelling of 3868536672 in words is "three billion, eight hundred sixty-eight million, five hundred thirty-six thousand, six hundred seventy-two".