3877627380 has 192 divisors, whose sum is σ = 12297422592. Its totient is φ = 904642560.

The previous prime is 3877627337. The next prime is 3877627387. The reversal of 3877627380 is 837267783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3877627387) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2367922 + ... + 2369558.

It is an arithmetic number, because the mean of its divisors is an integer number (64049076).

Almost surely, 2^3877627380 is an apocalyptic number.

3877627380 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 3877627380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148711296).

3877627380 is an abundant number, since it is smaller than the sum of its proper divisors (8419795212).

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

3877627380 is a wasteful number, since it uses less digits than its factorization.

3877627380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1794 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The square root of 3877627380 is about 62270.5980379183. The cubic root of 3877627380 is about 1571.0452395718.

The spelling of 3877627380 in words is "three billion, eight hundred seventy-seven million, six hundred twenty-seven thousand, three hundred eighty".