3887720928 has 384 divisors, whose sum is σ = 14082647040. Its totient is φ = 1016064000.

The previous prime is 3887720927. The next prime is 3887720951. The reversal of 3887720928 is 8290277883.

It is a super-2 number, since 2×3887720928² = 30228748028018362368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3887720927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15488803 + ... + 15489053.

It is an arithmetic number, because the mean of its divisors is an integer number (36673560).

Almost surely, 2^3887720928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3887720928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7041323520).

3887720928 is an abundant number, since it is smaller than the sum of its proper divisors (10194926112).

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

3887720928 is a wasteful number, since it uses less digits than its factorization.

3887720928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

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

The square root of 3887720928 is about 62351.5912226785. The cubic root of 3887720928 is about 1572.4072134265.

The spelling of 3887720928 in words is "three billion, eight hundred eighty-seven million, seven hundred twenty thousand, nine hundred twenty-eight".