3870261600 has 72 divisors (see below), whose sum is σ = 12597709320. Its totient is φ = 1032069120.

The previous prime is 3870261541. The next prime is 3870261623. The reversal of 3870261600 is 61620783.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 803905 + ... + 808704.

It is an arithmetic number, because the mean of its divisors is an integer number (174968185).

Almost surely, 2^3870261600 is an apocalyptic number.

3870261600 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3870261600 is an abundant number, since it is smaller than the sum of its proper divisors (8727447720).

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

3870261600 is a wasteful number, since it uses less digits than its factorization.

3870261600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612632 (or 1612619 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 3870261600 is about 62211.4266031571. The cubic root of 3870261600 is about 1570.0498449292.

The spelling of 3870261600 in words is "three billion, eight hundred seventy million, two hundred sixty-one thousand, six hundred".