3428106007008 has 48 divisors (see below), whose sum is σ = 9064462816080. Its totient is φ = 1134361107456.

The previous prime is 3428106006947. The next prime is 3428106007009. The reversal of 3428106007008 is 8007006018243.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3428106007008² (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 (3428106007009) 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 7 ways as a sum of consecutive naturals, for example, 130313263 + ... + 130339566.

It is an arithmetic number, because the mean of its divisors is an integer number (188842975335).

Almost surely, 2^{3428106007008} is an apocalyptic number.

It is an amenable number.

3428106007008 is an abundant number, since it is smaller than the sum of its proper divisors (5636356809072).

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

3428106007008 is a wasteful number, since it uses less digits than its factorization.

3428106007008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260652979 (or 260652971 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 3428106007008 in words is "three trillion, four hundred twenty-eight billion, one hundred six million, seven thousand, eight".