3987669840 has 640 divisors, whose sum is σ = 16678932480. Its totient is φ = 763084800.

The previous prime is 3987669817. The next prime is 3987669869. The reversal of 3987669840 is 489667893.

3987669840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14395782 + ... + 14396058.

It is an arithmetic number, because the mean of its divisors is an integer number (26060832).

Almost surely, 2^3987669840 is an apocalyptic number.

3987669840 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 3987669840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8339466240).

3987669840 is an abundant number, since it is smaller than the sum of its proper divisors (12691262640).

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

3987669840 is a wasteful number, since it uses less digits than its factorization.

3987669840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 60.

The square root of 3987669840 is about 63147.9994932539. Note that the first 3 decimals coincide. The cubic root of 3987669840 is about 1585.7682973939.

The spelling of 3987669840 in words is "three billion, nine hundred eighty-seven million, six hundred sixty-nine thousand, eight hundred forty".