3723805440 has 576 divisors, whose sum is σ = 14304729600. Its totient is φ = 914374656.

The previous prime is 3723805433. The next prime is 3723805447. The reversal of 3723805440 is 445083273.

It is a happy number.

3723805440 is a `hidden beast` number, since 37 + 2 + 3 + 80 + 544 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3723805433) and next prime (3723805447).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 3723805395 and 3723805404.

It is not an unprimeable number, because it can be changed into a prime (3723805447) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34801867 + ... + 34801973.

It is an arithmetic number, because the mean of its divisors is an integer number (24834600).

Almost surely, 2^3723805440 is an apocalyptic number.

3723805440 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 3723805440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7152364800).

3723805440 is an abundant number, since it is smaller than the sum of its proper divisors (10580924160).

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

3723805440 is a wasteful number, since it uses less digits than its factorization.

3723805440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3723805440 is about 61022.9910771342. The cubic root of 3723805440 is about 1549.9903488820.

The spelling of 3723805440 in words is "three billion, seven hundred twenty-three million, eight hundred five thousand, four hundred forty".