3869957520 has 960 divisors, whose sum is σ = 16956414720. Its totient is φ = 802897920.

The previous prime is 3869957459. The next prime is 3869957593. The reversal of 3869957520 is 257599683.

3869957520 is a `hidden beast` number, since 3 + 8 + 69 + 9 + 57 + 520 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 57760527 + ... + 57760593.

It is an arithmetic number, because the mean of its divisors is an integer number (17662932).

Almost surely, 2^3869957520 is an apocalyptic number.

3869957520 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 3869957520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8478207360).

3869957520 is an abundant number, since it is smaller than the sum of its proper divisors (13086457200).

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

3869957520 is a wasteful number, since it uses less digits than its factorization.

3869957520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The square root of 3869957520 is about 62208.9826311281. The cubic root of 3869957520 is about 1570.0087251195.

The spelling of 3869957520 in words is "three billion, eight hundred sixty-nine million, nine hundred fifty-seven thousand, five hundred twenty".