3867449425920 has 1224 divisors, whose sum is σ = 14608945072176. Its totient is φ = 945492590592.

The previous prime is 3867449425919. The next prime is 3867449425933. The reversal of 3867449425920 is 295249447683.

3867449425920 is a `hidden beast` number, since 3 + 8 + 6 + 74 + 494 + 2 + 59 + 20 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 57723125727 + ... + 57723125793.

Almost surely, 2^{3867449425920} is an apocalyptic number.

3867449425920 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 3867449425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7304472536088).

3867449425920 is an abundant number, since it is smaller than the sum of its proper divisors (10741495646256).

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

3867449425920 is an equidigital number, since it uses as much as digits as its factorization.

3867449425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 3867449425920 in words is "three trillion, eight hundred sixty-seven billion, four hundred forty-nine million, four hundred twenty-five thousand, nine hundred twenty".