3877988400 has 960 divisors, whose sum is σ = 16945582080. Its totient is φ = 839808000.

The previous prime is 3877988381. The next prime is 3877988423. The reversal of 3877988400 is 48897783.

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 191 ways as a sum of consecutive naturals, for example, 125096385 + ... + 125096415.

It is an arithmetic number, because the mean of its divisors is an integer number (17651648).

Almost surely, 2^3877988400 is an apocalyptic number.

3877988400 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 3877988400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8472791040).

3877988400 is an abundant number, since it is smaller than the sum of its proper divisors (13067593680).

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

3877988400 is a wasteful number, since it uses less digits than its factorization.

3877988400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 3877988400 is about 62273.4967702955. The cubic root of 3877988400 is about 1571.0939945703.

The spelling of 3877988400 in words is "three billion, eight hundred seventy-seven million, nine hundred eighty-eight thousand, four hundred".