3873687552 has 216 divisors, whose sum is σ = 13017554550. Its totient is φ = 1106509824.

The previous prime is 3873687523. The next prime is 3873687593. The reversal of 3873687552 is 2557863783.

3873687552 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 6 + 87 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2406491136 + 1467196416 = 49056^2 + 38304^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 901024 + ... + 905312.

Almost surely, 2^3873687552 is an apocalyptic number.

3873687552 is a gapful number since it is divisible by the number (32) 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 3873687552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6508777275).

3873687552 is an abundant number, since it is smaller than the sum of its proper divisors (9143866998).

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

3873687552 is a wasteful number, since it uses less digits than its factorization.

3873687552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4331 (or 4301 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The square root of 3873687552 is about 62238.9552611546. The cubic root of 3873687552 is about 1570.5129771930.

The spelling of 3873687552 in words is "three billion, eight hundred seventy-three million, six hundred eighty-seven thousand, five hundred fifty-two".