3800060167680 has 2160 divisors, whose sum is σ = 17146750729680. Its totient is φ = 773202640896.

The previous prime is 3800060167679. The next prime is 3800060167723. The reversal of 3800060167680 is 867610600083.

3800060167680 is a `hidden beast` number, since 38 + 0 + 0 + 0 + 601 + 6 + 7 + 6 + 8 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 215 ways as a sum of consecutive naturals, for example, 6199119054 + ... + 6199119666.

It is an arithmetic number, because the mean of its divisors is an integer number (7938310523).

Almost surely, 2^{3800060167680} is an apocalyptic number.

3800060167680 is a gapful number since it is divisible by the number (30) 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 3800060167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8573375364840).

3800060167680 is an abundant number, since it is smaller than the sum of its proper divisors (13346690562000).

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

3800060167680 is a wasteful number, since it uses less digits than its factorization.

3800060167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 3800060167680 in words is "three trillion, eight hundred billion, sixty million, one hundred sixty-seven thousand, six hundred eighty".