3870393246720 has 1584 divisors, whose sum is σ = 18329191852608. Its totient is φ = 742311198720.

The previous prime is 3870393246679. The next prime is 3870393246749. The reversal of 3870393246720 is 276423930783.

3870393246720 is a `hidden beast` number, since 3 + 8 + 7 + 0 + 393 + 246 + 7 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322876567 + ... + 322888553.

Almost surely, 2^{3870393246720} is an apocalyptic number.

3870393246720 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 3870393246720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9164595926304).

3870393246720 is an abundant number, since it is smaller than the sum of its proper divisors (14458798605888).

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

3870393246720 is a wasteful number, since it uses less digits than its factorization.

3870393246720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12056 (or 12028 counting only the distinct ones).

The product of its (nonzero) digits is 9144576, while the sum is 54.

The spelling of 3870393246720 in words is "three trillion, eight hundred seventy billion, three hundred ninety-three million, two hundred forty-six thousand, seven hundred twenty".