3807345423872 has 160 divisors (see below), whose sum is σ = 7791199099200. Its totient is φ = 1858181529600.

The previous prime is 3807345423863. The next prime is 3807345423913. The reversal of 3807345423872 is 2783245437083.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2702160704 + ... + 2702162112.

It is an arithmetic number, because the mean of its divisors is an integer number (48694994370).

Almost surely, 2^{3807345423872} is an apocalyptic number.

3807345423872 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3807345423872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895599549600).

3807345423872 is an abundant number, since it is smaller than the sum of its proper divisors (3983853675328).

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

3807345423872 is a wasteful number, since it uses less digits than its factorization.

3807345423872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 27095040, while the sum is 56.

The spelling of 3807345423872 in words is "three trillion, eight hundred seven billion, three hundred forty-five million, four hundred twenty-three thousand, eight hundred seventy-two".