3872763 has 24 divisors (see below), whose sum is σ = 5964192. Its totient is φ = 2416128.

The previous prime is 3872761. The next prime is 3872767. The reversal of 3872763 is 3672783.

3872763 is a `hidden beast` number, since 387 + 276 + 3 = 666.

It is not a de Polignac number, because 3872763 - 2¹ = 3872761 is a prime.

It is an alternating number because its digits alternate between odd and even.

Its product of digits (42336) is a multiple of the sum of its prime divisors (432).

It is not an unprimeable number, because it can be changed into a prime (3872761) 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, 10795 + ... + 11147.

It is an arithmetic number, because the mean of its divisors is an integer number (248508).

Almost surely, 2^3872763 is an apocalyptic number.

3872763 is a deficient number, since it is larger than the sum of its proper divisors (2091429).

3872763 is a wasteful number, since it uses less digits than its factorization.

3872763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 432 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 3872763 is about 1967.9336879072. The cubic root of 3872763 is about 157.0388019907.

The spelling of 3872763 in words is "three million, eight hundred seventy-two thousand, seven hundred sixty-three".