3868829520 has 80 divisors (see below), whose sum is σ = 12317544960. Its totient is φ = 1003802112.

The previous prime is 3868829513. The next prime is 3868829527. The reversal of 3868829520 is 259288683.

3868829520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3868829513) and next prime (3868829527).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3868829527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 208960 + ... + 226719.

It is an arithmetic number, because the mean of its divisors is an integer number (153969312).

Almost surely, 2^3868829520 is an apocalyptic number.

3868829520 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3868829520 is an abundant number, since it is smaller than the sum of its proper divisors (8448715440).

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

3868829520 is a wasteful number, since it uses less digits than its factorization.

3868829520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435732 (or 435726 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The square root of 3868829520 is about 62199.9157555700. The cubic root of 3868829520 is about 1569.8561703067.

The spelling of 3868829520 in words is "three billion, eight hundred sixty-eight million, eight hundred twenty-nine thousand, five hundred twenty".