3765630140 has 96 divisors (see below), whose sum is σ = 8629770240. Its totient is φ = 1374969600.

The previous prime is 3765630107. The next prime is 3765630161. The reversal of 3765630140 is 410365673.

It is a self number, because there is not a number n which added to its sum of digits gives 3765630140.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3450995 + ... + 3452085.

It is an arithmetic number, because the mean of its divisors is an integer number (89893440).

Almost surely, 2^3765630140 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 3765630140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4314885120).

3765630140 is an abundant number, since it is smaller than the sum of its proper divisors (4864140100).

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

3765630140 is a wasteful number, since it uses less digits than its factorization.

3765630140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 35.

The square root of 3765630140 is about 61364.7304239170. The cubic root of 3765630140 is about 1555.7717711663.

The spelling of 3765630140 in words is "three billion, seven hundred sixty-five million, six hundred thirty thousand, one hundred forty".