3008365353042 has 128 divisors (see below), whose sum is σ = 7360703539200. Its totient is φ = 800115065856.

The previous prime is 3008365353023. The next prime is 3008365353047. The reversal of 3008365353042 is 2403535638003.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3008365352985 and 3008365353003.

It is not an unprimeable number, because it can be changed into a prime (3008365353047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43781709 + ... + 43850367.

It is an arithmetic number, because the mean of its divisors is an integer number (57505496400).

Almost surely, 2^{3008365353042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3008365353042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680351769600).

3008365353042 is an abundant number, since it is smaller than the sum of its proper divisors (4352338186158).

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

3008365353042 is a wasteful number, since it uses less digits than its factorization.

3008365353042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69360.

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 3008365353042 in words is "three trillion, eight billion, three hundred sixty-five million, three hundred fifty-three thousand, forty-two".