3789876625920 has 800 divisors, whose sum is σ = 16923675136896. Its totient is φ = 787503513600.

The previous prime is 3789876625901. The next prime is 3789876625949. The reversal of 3789876625920 is 295266789873.

3789876625920 is a `hidden beast` number, since 378 + 98 + 7 + 66 + 25 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15848040 + ... + 16085400.

Almost surely, 2^{3789876625920} is an apocalyptic number.

3789876625920 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 3789876625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8461837568448).

3789876625920 is an abundant number, since it is smaller than the sum of its proper divisors (13133798510976).

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

3789876625920 is a wasteful number, since it uses less digits than its factorization.

3789876625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237414 (or 237389 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 3789876625920 in words is "three trillion, seven hundred eighty-nine billion, eight hundred seventy-six million, six hundred twenty-five thousand, nine hundred twenty".