3877386240 has 768 divisors, whose sum is σ = 16290892800. Its totient is φ = 764411904.

The previous prime is 3877386229. The next prime is 3877386257. The reversal of 3877386240 is 426837783.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3877386240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53114844 + ... + 53114916.

It is an arithmetic number, because the mean of its divisors is an integer number (21212100).

Almost surely, 2^3877386240 is an apocalyptic number.

3877386240 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 3877386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8145446400).

3877386240 is an abundant number, since it is smaller than the sum of its proper divisors (12413506560).

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

3877386240 is a wasteful number, since it uses less digits than its factorization.

3877386240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 48.

The square root of 3877386240 is about 62268.6617810275. The cubic root of 3877386240 is about 1571.0126724317.

The spelling of 3877386240 in words is "three billion, eight hundred seventy-seven million, three hundred eighty-six thousand, two hundred forty".