3484106007008 has 48 divisors (see below), whose sum is σ = 7533130474800. Its totient is φ = 1573055769600.

The previous prime is 3484106007001. The next prime is 3484106007047. The reversal of 3484106007008 is 8007006014843.

It is a super-2 number, since 2×3484106007008² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3484106007001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33162413 + ... + 33267308.

It is an arithmetic number, because the mean of its divisors is an integer number (156940218225).

Almost surely, 2^{3484106007008} is an apocalyptic number.

It is an amenable number.

3484106007008 is an abundant number, since it is smaller than the sum of its proper divisors (4049024467792).

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

3484106007008 is a wasteful number, since it uses less digits than its factorization.

3484106007008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66429891 (or 66429883 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 41.

The spelling of 3484106007008 in words is "three trillion, four hundred eighty-four billion, one hundred six million, seven thousand, eight".