3887761920 has 240 divisors, whose sum is σ = 14459262048. Its totient is φ = 888545280.

The previous prime is 3887761919. The next prime is 3887761979. The reversal of 3887761920 is 291677883.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3887761920² = 30229385493204172800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 371155 + ... + 381485.

Almost surely, 2^3887761920 is an apocalyptic number.

3887761920 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 3887761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7229631024).

3887761920 is an abundant number, since it is smaller than the sum of its proper divisors (10571500128).

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

3887761920 is a wasteful number, since it uses less digits than its factorization.

3887761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10371 (or 10348 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 51.

The square root of 3887761920 is about 62351.9199383628. The cubic root of 3887761920 is about 1572.4127398768.

The spelling of 3887761920 in words is "three billion, eight hundred eighty-seven million, seven hundred sixty-one thousand, nine hundred twenty".