3827251920 has 40 divisors (see below), whose sum is σ = 11864481696. Its totient is φ = 1020600448.

The previous prime is 3827251907. The next prime is 3827251949. The reversal of 3827251920 is 291527283.

3827251920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7973202 + ... + 7973681.

Almost surely, 2^3827251920 is an apocalyptic number.

3827251920 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3827251920 is an abundant number, since it is smaller than the sum of its proper divisors (8037229776).

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

3827251920 is a wasteful number, since it uses less digits than its factorization.

3827251920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15946899 (or 15946893 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 3827251920 is about 61864.7873996185. The cubic root of 3827251920 is about 1564.2122517694.

The spelling of 3827251920 in words is "three billion, eight hundred twenty-seven million, two hundred fifty-one thousand, nine hundred twenty".