3900635520 has 128 divisors (see below), whose sum is σ = 12470112000. Its totient is φ = 1037088768.

The previous prime is 3900635513. The next prime is 3900635521. The reversal of 3900635520 is 255360093.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3900635521) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 686451 + ... + 692109.

It is an arithmetic number, because the mean of its divisors is an integer number (97422750).

Almost surely, 2^3900635520 is an apocalyptic number.

3900635520 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 3900635520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6235056000).

3900635520 is an abundant number, since it is smaller than the sum of its proper divisors (8569476480).

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

3900635520 is a wasteful number, since it uses less digits than its factorization.

3900635520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6040 (or 6028 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 33.

The square root of 3900635520 is about 62455.0680089294. The cubic root of 3900635520 is about 1574.1464117478.

The spelling of 3900635520 in words is "three billion, nine hundred million, six hundred thirty-five thousand, five hundred twenty".