3661791840 has 576 divisors, whose sum is σ = 15596582400. Its totient is φ = 785866752.

The previous prime is 3661791811. The next prime is 3661791863. The reversal of 3661791840 is 481971663.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8739151 + ... + 8739569.

It is an arithmetic number, because the mean of its divisors is an integer number (27077400).

Almost surely, 2^3661791840 is an apocalyptic number.

3661791840 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 3661791840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7798291200).

3661791840 is an abundant number, since it is smaller than the sum of its proper divisors (11934790560).

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

3661791840 is a wasteful number, since it uses less digits than its factorization.

3661791840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3661791840 is about 60512.7411377141. The cubic root of 3661791840 is about 1541.3379949878.

The spelling of 3661791840 in words is "three billion, six hundred sixty-one million, seven hundred ninety-one thousand, eight hundred forty".