3765005440 has 128 divisors (see below), whose sum is σ = 10314501120. Its totient is φ = 1287352320.

The previous prime is 3765005383. The next prime is 3765005443. The reversal of 3765005440 is 445005673.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 3765005396 and 3765005405.

It is not an unprimeable number, because it can be changed into a prime (3765005443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2064369 + ... + 2066191.

It is an arithmetic number, because the mean of its divisors is an integer number (80582040).

Almost surely, 2^3765005440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3765005440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157250560).

3765005440 is an abundant number, since it is smaller than the sum of its proper divisors (6549495680).

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

3765005440 is a wasteful number, since it uses less digits than its factorization.

3765005440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2298 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 3765005440 is about 61359.6401553986. The cubic root of 3765005440 is about 1555.6857347139.

The spelling of 3765005440 in words is "three billion, seven hundred sixty-five million, five thousand, four hundred forty".