3874315536 has 675 divisors, whose sum is σ = 14907265461. Its totient is φ = 968018688.

The previous prime is 3874315531. The next prime is 3874315537. The reversal of 3874315536 is 6355134783.

The square root of 3874315536 is 62244.

It is a perfect power (a square), and thus also a powerful number.

3874315536 is a `hidden beast` number, since 3 + 87 + 4 + 31 + 5 + 536 = 666.

It can be written as a sum of positive squares in only one way, i.e., 573123600 + 3301191936 = 23940^2 + 57456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3874315491 and 3874315500.

It is not an unprimeable number, because it can be changed into a prime (3874315531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 203911335 + ... + 203911353.

Almost surely, 2^3874315536 is an apocalyptic number.

3874315536 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3874315536 is the 62244-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3874315536

3874315536 is an abundant number, since it is smaller than the sum of its proper divisors (11032949925).

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

3874315536 is a wasteful number, since it uses less digits than its factorization.

3874315536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its digits is 907200, while the sum is 45.

The cubic root of 3874315536 is about 1570.5978406655.

The spelling of 3874315536 in words is "three billion, eight hundred seventy-four million, three hundred fifteen thousand, five hundred thirty-six".