3703645440 has 324 divisors, whose sum is σ = 14090361012. Its totient is φ = 897515520.

The previous prime is 3703645411. The next prime is 3703645441. The reversal of 3703645440 is 445463073.

It is a happy number.

3703645440 is a `hidden beast` number, since 3 + 7 + 0 + 3 + 645 + 4 + 4 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1874543616 + 1829101824 = 43296^2 + 42768^2 .

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 = 3703645395 and 3703645404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3703645441) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 1392592 + ... + 1395248.

Almost surely, 2^3703645440 is an apocalyptic number.

3703645440 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 3703645440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7045180506).

3703645440 is an abundant number, since it is smaller than the sum of its proper divisors (10386715572).

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

3703645440 is a wasteful number, since it uses less digits than its factorization.

3703645440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2706 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 3703645440 is about 60857.5832579638. The cubic root of 3703645440 is about 1547.1881647437.

The spelling of 3703645440 in words is "three billion, seven hundred three million, six hundred forty-five thousand, four hundred forty".