3867965792 has 48 divisors (see below), whose sum is σ = 7901732160. Its totient is φ = 1862258688.

The previous prime is 3867965771. The next prime is 3867965813. The reversal of 3867965792 is 2975697683.

It is an interprime number because it is at equal distance from previous prime (3867965771) and next prime (3867965813).

It is a super-2 number, since 2×3867965792² = 29922318736164374528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98009 + ... + 131687.

It is an arithmetic number, because the mean of its divisors is an integer number (164619420).

Almost surely, 2^3867965792 is an apocalyptic number.

3867965792 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 3867965792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3950866080).

3867965792 is an abundant number, since it is smaller than the sum of its proper divisors (4033766368).

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

3867965792 is a wasteful number, since it uses less digits than its factorization.

3867965792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33823 (or 33815 counting only the distinct ones).

The product of its digits is 34292160, while the sum is 62.

The square root of 3867965792 is about 62192.9722074769. The cubic root of 3867965792 is about 1569.7393365511.

The spelling of 3867965792 in words is "three billion, eight hundred sixty-seven million, nine hundred sixty-five thousand, seven hundred ninety-two".