3918507840000 has 2000 divisors, whose sum is σ = 16322526463320. Its totient is φ = 928972800000.

The previous prime is 3918507839921. The next prime is 3918507840053. The reversal of 3918507840000 is 487058193.

It can be written as a sum of positive squares in 20 ways, for example, as 956859588864 + 2961648251136 = 978192^2 + 1720944^2 .

It is a tau number, because it is divible by the number of its divisors (2000).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 9771839800 + ... + 9771840200.

Almost surely, 2^{3918507840000} is an apocalyptic number.

3918507840000 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 3918507840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8161263231660).

3918507840000 is an abundant number, since it is smaller than the sum of its proper divisors (12404018623320).

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

3918507840000 is an equidigital number, since it uses as much as digits as its factorization.

3918507840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3918507840000 in words is "three trillion, nine hundred eighteen billion, five hundred seven million, eight hundred forty thousand".