3723615840 has 288 divisors, whose sum is σ = 14087291904. Its totient is φ = 823495680.

The previous prime is 3723615829. The next prime is 3723615853. The reversal of 3723615840 is 485163273.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 726567 + ... + 731673.

It is an arithmetic number, because the mean of its divisors is an integer number (48914208).

Almost surely, 2^3723615840 is an apocalyptic number.

3723615840 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 3723615840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7043645952).

3723615840 is an abundant number, since it is smaller than the sum of its proper divisors (10363676064).

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

3723615840 is a wasteful number, since it uses less digits than its factorization.

3723615840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5170 (or 5155 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3723615840 is about 61021.4375445220. The cubic root of 3723615840 is about 1549.9640421766.

The spelling of 3723615840 in words is "three billion, seven hundred twenty-three million, six hundred fifteen thousand, eight hundred forty".