3705418744992 has 240 divisors, whose sum is σ = 10932157716480. Its totient is φ = 1231221938688.

The previous prime is 3705418744921. The next prime is 3705418744999. The reversal of 3705418744992 is 2994478145073.

3705418744992 is a `hidden beast` number, since 3 + 7 + 0 + 5 + 4 + 187 + 449 + 9 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3705418744999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2168178634 + ... + 2168180342.

It is an arithmetic number, because the mean of its divisors is an integer number (45550657152).

Almost surely, 2^{3705418744992} is an apocalyptic number.

3705418744992 is a gapful number since it is divisible by the number (32) 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 3705418744992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5466078858240).

3705418744992 is an abundant number, since it is smaller than the sum of its proper divisors (7226738971488).

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

3705418744992 is a wasteful number, since it uses less digits than its factorization.

3705418744992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3897 (or 3880 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3705418744992 in words is "three trillion, seven hundred five billion, four hundred eighteen million, seven hundred forty-four thousand, nine hundred ninety-two".