3867690340800 has 2688 divisors, whose sum is σ = 17494400286720. Its totient is φ = 817861017600.

The previous prime is 3867690340757. The next prime is 3867690340831. The reversal of 3867690340800 is 80430967683.

3867690340800 is a `hidden beast` number, since 3 + 86 + 76 + 90 + 3 + 408 + 0 + 0 = 666.

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 383 ways as a sum of consecutive naturals, for example, 23159822317 + ... + 23159822483.

It is an arithmetic number, because the mean of its divisors is an integer number (6508333440).

Almost surely, 2^{3867690340800} is an apocalyptic number.

3867690340800 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 3867690340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8747200143360).

3867690340800 is an abundant number, since it is smaller than the sum of its proper divisors (13626709945920).

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

3867690340800 is a wasteful number, since it uses less digits than its factorization.

3867690340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3867690340800 in words is "three trillion, eight hundred sixty-seven billion, six hundred ninety million, three hundred forty thousand, eight hundred".