3887723520 has 176 divisors, whose sum is σ = 13816758720. Its totient is φ = 1036689408.

The previous prime is 3887723509. The next prime is 3887723527. The reversal of 3887723520 is 253277883.

3887723520 is a `hidden beast` number, since 38 + 8 + 77 + 23 + 520 = 666.

3887723520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3887723520² = 30228788335922380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887723527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124179 + ... + 152301.

Almost surely, 2^3887723520 is an apocalyptic number.

3887723520 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 3887723520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6908379360).

3887723520 is an abundant number, since it is smaller than the sum of its proper divisors (9929035200).

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

3887723520 is a wasteful number, since it uses less digits than its factorization.

3887723520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28157 (or 28133 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 3887723520 is about 62351.6120080307. The cubic root of 3887723520 is about 1572.4075628753.

The spelling of 3887723520 in words is "three billion, eight hundred eighty-seven million, seven hundred twenty-three thousand, five hundred twenty".