3735081579042 has 72 divisors (see below), whose sum is σ = 8897011211088. Its totient is φ = 1131619602960.

The previous prime is 3735081579011. The next prime is 3735081579043. The reversal of 3735081579042 is 2409751805373.

3735081579042 is a `hidden beast` number, since 3 + 7 + 3 + 508 + 1 + 5 + 7 + 90 + 42 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3735081579042.

It is not an unprimeable number, because it can be changed into a prime (3735081579043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11043573 + ... + 11376759.

It is an arithmetic number, because the mean of its divisors is an integer number (123569600154).

Almost surely, 2^{3735081579042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735081579042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4448505605544).

3735081579042 is an abundant number, since it is smaller than the sum of its proper divisors (5161929632046).

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

3735081579042 is a wasteful number, since it uses less digits than its factorization.

3735081579042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338364 (or 338350 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 3735081579042 in words is "three trillion, seven hundred thirty-five billion, eighty-one million, five hundred seventy-nine thousand, forty-two".