3840917875200 has 1920 divisors, whose sum is σ = 17285401520640. Its totient is φ = 825564856320.

The previous prime is 3840917875141. The next prime is 3840917875237. The reversal of 3840917875200 is 25787190483.

It is a happy number.

3840917875200 is a `hidden beast` number, since 3 + 8 + 40 + 9 + 1 + 78 + 7 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3331237824 + ... + 3331238976.

It is an arithmetic number, because the mean of its divisors is an integer number (9002813292).

Almost surely, 2^{3840917875200} is an apocalyptic number.

3840917875200 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 3840917875200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8642700760320).

3840917875200 is an abundant number, since it is smaller than the sum of its proper divisors (13444483645440).

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

3840917875200 is an equidigital number, since it uses as much as digits as its factorization.

3840917875200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 3840917875200 in words is "three trillion, eight hundred forty billion, nine hundred seventeen million, eight hundred seventy-five thousand, two hundred".