3877009428600 has 2304 divisors, whose sum is σ = 17488516377600. Its totient is φ = 780337152000.

The previous prime is 3877009428577. The next prime is 3877009428707. The reversal of 3877009428600 is 68249007783.

3877009428600 is a `hidden beast` number, since 3 + 8 + 7 + 7 + 0 + 0 + 9 + 4 + 28 + 600 = 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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 15085639672 + ... + 15085639928.

It is an arithmetic number, because the mean of its divisors is an integer number (7590501900).

Almost surely, 2^{3877009428600} is an apocalyptic number.

3877009428600 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 3877009428600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8744258188800).

3877009428600 is an abundant number, since it is smaller than the sum of its proper divisors (13611506949000).

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

3877009428600 is a wasteful number, since it uses less digits than its factorization.

3877009428600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 3877009428600 in words is "three trillion, eight hundred seventy-seven billion, nine million, four hundred twenty-eight thousand, six hundred".