3807540688146 has 128 divisors (see below), whose sum is σ = 8526830764032. Its totient is φ = 1125541440000.

The previous prime is 3807540688111. The next prime is 3807540688151. The reversal of 3807540688146 is 6418860457083.

It is a self number, because there is not a number n which added to its sum of digits gives 3807540688146.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 981070126 + ... + 981074006.

It is an arithmetic number, because the mean of its divisors is an integer number (66615865344).

Almost surely, 2^{3807540688146} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807540688146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263415382016).

3807540688146 is an abundant number, since it is smaller than the sum of its proper divisors (4719290075886).

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

3807540688146 is a wasteful number, since it uses less digits than its factorization.

3807540688146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6768.

The product of its (nonzero) digits is 30965760, while the sum is 60.

The spelling of 3807540688146 in words is "three trillion, eight hundred seven billion, five hundred forty million, six hundred eighty-eight thousand, one hundred forty-six".