3864603456 has 168 divisors, whose sum is σ = 12686548160. Its totient is φ = 1101828096.

The previous prime is 3864603443. The next prime is 3864603467. The reversal of 3864603456 is 6543064683.

3864603456 is a `hidden beast` number, since 38 + 6 + 4 + 603 + 4 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2979000 + ... + 2980296.

Almost surely, 2^3864603456 is an apocalyptic number.

3864603456 is a gapful number since it is divisible by the number (36) 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 3864603456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6343274080).

3864603456 is an abundant number, since it is smaller than the sum of its proper divisors (8821944704).

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

3864603456 is a wasteful number, since it uses less digits than its factorization.

3864603456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061 (or 2048 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The square root of 3864603456 is about 62165.9348518141. The cubic root of 3864603456 is about 1569.2843582799.

The spelling of 3864603456 in words is "three billion, eight hundred sixty-four million, six hundred three thousand, four hundred fifty-six".