3897875520 has 1176 divisors, whose sum is σ = 18229771008. Its totient is φ = 783820800.

The previous prime is 3897875473. The next prime is 3897875521. The reversal of 3897875520 is 255787983.

3897875520 is a `hidden beast` number, since 3 + 8 + 9 + 7 + 87 + 552 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1176).

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 (3897875521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 125737905 + ... + 125737935.

Almost surely, 2^3897875520 is an apocalyptic number.

3897875520 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 3897875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9114885504).

3897875520 is an abundant number, since it is smaller than the sum of its proper divisors (14331895488).

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

3897875520 is a wasteful number, since it uses less digits than its factorization.

3897875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The square root of 3897875520 is about 62432.9682139172. The cubic root of 3897875520 is about 1573.7750475432.

The spelling of 3897875520 in words is "three billion, eight hundred ninety-seven million, eight hundred seventy-five thousand, five hundred twenty".