3681447840 has 384 divisors, whose sum is σ = 15010168320. Its totient is φ = 825237504.

The previous prime is 3681447829. The next prime is 3681447857. The reversal of 3681447840 is 487441863.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1601572 + ... + 1603868.

It is an arithmetic number, because the mean of its divisors is an integer number (39088980).

Almost surely, 2^3681447840 is an apocalyptic number.

3681447840 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 3681447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505084160).

3681447840 is an abundant number, since it is smaller than the sum of its proper divisors (11328720480).

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

3681447840 is a wasteful number, since it uses less digits than its factorization.

3681447840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2367 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 3681447840 is about 60674.9358466904. The cubic root of 3681447840 is about 1544.0909724737.

The spelling of 3681447840 in words is "three billion, six hundred eighty-one million, four hundred forty-seven thousand, eight hundred forty".