3869008825920 has 1792 divisors, whose sum is σ = 15721617162240. Its totient is φ = 786839961600.

The previous prime is 3869008825883. The next prime is 3869008825937. The reversal of 3869008825920 is 295288009683.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 18336534615 + ... + 18336534825.

Almost surely, 2^{3869008825920} is an apocalyptic number.

3869008825920 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 3869008825920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860808581120).

3869008825920 is an abundant number, since it is smaller than the sum of its proper divisors (11852608336320).

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

3869008825920 is a wasteful number, since it uses less digits than its factorization.

3869008825920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 3869008825920 in words is "three trillion, eight hundred sixty-nine billion, eight million, eight hundred twenty-five thousand, nine hundred twenty".