3787966 has 24 divisors (see below), whose sum is σ = 7035984. Its totient is φ = 1497600.

The previous prime is 3787961. The next prime is 3787967. The reversal of 3787966 is 6697873.

It is a d-powerful number, because it can be written as 3¹³ + 7² + 8⁷ + 7⁴ + 9³ + 6⁶ + 6⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3787961) 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, 1566 + ... + 3166.

It is an arithmetic number, because the mean of its divisors is an integer number (293166).

Almost surely, 2^3787966 is an apocalyptic number.

3787966 is a deficient number, since it is larger than the sum of its proper divisors (3248018).

3787966 is a wasteful number, since it uses less digits than its factorization.

3787966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1636 (or 1623 counting only the distinct ones).

The product of its digits is 381024, while the sum is 46.

The square root of 3787966 is about 1946.2697654745. The cubic root of 3787966 is about 155.8841732816.

It can be divided in two parts, 3787 and 966, that added together give a triangular number (4753 = T₉₇).

The spelling of 3787966 in words is "three million, seven hundred eighty-seven thousand, nine hundred sixty-six".