3781732000 has 96 divisors (see below), whose sum is σ = 9310850640. Its totient is φ = 1509580800.

The previous prime is 3781731983. The next prime is 3781732021. The reversal of 3781732000 is 2371873.

It can be written as a sum of positive squares in 8 ways, for example, as 143712144 + 3638019856 = 11988^2 + 60316^2 .

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 15 ways as a sum of consecutive naturals, for example, 3747496 + ... + 3748504.

Almost surely, 2^3781732000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3781732000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655425320).

3781732000 is an abundant number, since it is smaller than the sum of its proper divisors (5529118640).

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

3781732000 is a wasteful number, since it uses less digits than its factorization.

3781732000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1971 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 31.

The square root of 3781732000 is about 61495.7884736833. The cubic root of 3781732000 is about 1557.9861148553.

The spelling of 3781732000 in words is "three billion, seven hundred eighty-one million, seven hundred thirty-two thousand".