3765541248 has 96 divisors (see below), whose sum is σ = 12383726160. Its totient is φ = 1075866624.

The previous prime is 3765541211. The next prime is 3765541249. The reversal of 3765541248 is 8421455673.

3765541248 is a `hidden beast` number, since 3 + 7 + 65 + 541 + 2 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3765541249) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 225415 + ... + 241542.

Almost surely, 2^3765541248 is an apocalyptic number.

It is an amenable number.

3765541248 is an abundant number, since it is smaller than the sum of its proper divisors (8618184912).

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

3765541248 is a wasteful number, since it uses less digits than its factorization.

3765541248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466984 (or 466969 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

The square root of 3765541248 is about 61364.0061273708. The cubic root of 3765541248 is about 1555.7595291468.

The spelling of 3765541248 in words is "three billion, seven hundred sixty-five million, five hundred forty-one thousand, two hundred forty-eight".