3867678720 has 240 divisors, whose sum is σ = 13865932080. Its totient is φ = 1031159808.

The previous prime is 3867678679. The next prime is 3867678733. The reversal of 3867678720 is 278767683.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3867678720² = 29917877362281676800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 827109 + ... + 831771.

It is an arithmetic number, because the mean of its divisors is an integer number (57774717).

Almost surely, 2^3867678720 is an apocalyptic number.

3867678720 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 3867678720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6932966040).

3867678720 is an abundant number, since it is smaller than the sum of its proper divisors (9998253360).

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

3867678720 is an equidigital number, since it uses as much as digits as its factorization.

3867678720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4702 (or 4673 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The square root of 3867678720 is about 62190.6642511559. The cubic root of 3867678720 is about 1569.7005013784.

The spelling of 3867678720 in words is "three billion, eight hundred sixty-seven million, six hundred seventy-eight thousand, seven hundred twenty".