3765445632 has 264 divisors, whose sum is σ = 11950042104. Its totient is φ = 1134821376.

The previous prime is 3765445613. The next prime is 3765445639. The reversal of 3765445632 is 2365445673.

3765445632 is a `hidden beast` number, since 3 + 7 + 6 + 5 + 4 + 4 + 5 + 632 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 491774976 + 3273670656 = 22176^2 + 57216^2 .

It is not an unprimeable number, because it can be changed into a prime (3765445639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6349528 + ... + 6350120.

It is an arithmetic number, because the mean of its divisors is an integer number (45265311).

Almost surely, 2^3765445632 is an apocalyptic number.

3765445632 is a gapful number since it is divisible by the number (32) 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 3765445632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5975021052).

3765445632 is an abundant number, since it is smaller than the sum of its proper divisors (8184596472).

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

3765445632 is a wasteful number, since it uses less digits than its factorization.

3765445632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685 (or 664 counting only the distinct ones).

The product of its digits is 1814400, while the sum is 45.

The square root of 3765445632 is about 61363.2270337863. The cubic root of 3765445632 is about 1555.7463608971.

The spelling of 3765445632 in words is "three billion, seven hundred sixty-five million, four hundred forty-five thousand, six hundred thirty-two".