3857407723008 has 1200 divisors, whose sum is σ = 13872085827600. Its totient is φ = 1069256982528.

The previous prime is 3857407722979. The next prime is 3857407723021. The reversal of 3857407723008 is 8003277047583.

It is a happy number.

3857407723008 is a `hidden beast` number, since 38 + 574 + 0 + 7 + 7 + 2 + 30 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11052744018 + ... + 11052744366.

It is an arithmetic number, because the mean of its divisors is an integer number (11560071523).

Almost surely, 2^{3857407723008} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3857407723008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6936042913800).

3857407723008 is an abundant number, since it is smaller than the sum of its proper divisors (10014678104592).

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

3857407723008 is an frugal number, since it uses more digits than its factorization.

3857407723008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 447 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 3857407723008 in words is "three trillion, eight hundred fifty-seven billion, four hundred seven million, seven hundred twenty-three thousand, eight".