3870633600 has 480 divisors, whose sum is σ = 14519745900. Its totient is φ = 1015234560.

The previous prime is 3870633563. The next prime is 3870633607. The reversal of 3870633600 is 63360783.

It can be written as a sum of positive squares in 6 ways, for example, as 1947986496 + 1922647104 = 44136^2 + 43848^2 .

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3870633607) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 28252732 + ... + 28252868.

Almost surely, 2^3870633600 is an apocalyptic number.

3870633600 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 3870633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259872950).

3870633600 is an abundant number, since it is smaller than the sum of its proper divisors (10649112300).

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

3870633600 is a wasteful number, since it uses less digits than its factorization.

3870633600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3870633600 is about 62214.4163357658. The cubic root of 3870633600 is about 1570.1001464239.

The spelling of 3870633600 in words is "three billion, eight hundred seventy million, six hundred thirty-three thousand, six hundred".