3867464960 has 144 divisors (see below), whose sum is σ = 9603987456. Its totient is φ = 1491001344.

The previous prime is 3867464959. The next prime is 3867464989. The reversal of 3867464960 is 694647683.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6014399 + ... + 6015041.

Almost surely, 2^3867464960 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 3867464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4801993728).

3867464960 is an abundant number, since it is smaller than the sum of its proper divisors (5736522496).

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

3867464960 is a wasteful number, since it uses less digits than its factorization.

3867464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 53.

The square root of 3867464960 is about 62188.9456414884. The cubic root of 3867464960 is about 1569.6715826233.

The spelling of 3867464960 in words is "three billion, eight hundred sixty-seven million, four hundred sixty-four thousand, nine hundred sixty".