3940005888000 has 3360 divisors, whose sum is σ = 18772439736960. Its totient is φ = 802632499200.

The previous prime is 3940005887989. The next prime is 3940005888047. The reversal of 3940005888000 is 8885000493.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 135862271986 + ... + 135862272014.

It is an arithmetic number, because the mean of its divisors is an integer number (5587035636).

Almost surely, 2^{3940005888000} is an apocalyptic number.

3940005888000 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 3940005888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9386219868480).

3940005888000 is an abundant number, since it is smaller than the sum of its proper divisors (14832433848960).

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

3940005888000 is an frugal number, since it uses more digits than its factorization.

3940005888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 3940005888000 in words is "three trillion, nine hundred forty billion, five million, eight hundred eighty-eight thousand".