3762792 has 48 divisors (see below), whose sum is σ = 11119680. Its totient is φ = 1140000.

The previous prime is 3762767. The next prime is 3762799. The reversal of 3762792 is 2972673.

3762792 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3¹¹ + 7⁴ + 6² + 2¹⁷ + 7⁷ + 9⁶ + 2²¹ .

It is not an unprimeable number, because it can be changed into a prime (3762799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1584 + ... + 3167.

It is an arithmetic number, because the mean of its divisors is an integer number (231660).

Almost surely, 2^3762792 is an apocalyptic number.

3762792 is the 1584-th pentagonal number.

It is an amenable number.

3762792 is an abundant number, since it is smaller than the sum of its proper divisors (7356888).

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

3762792 is a wasteful number, since it uses less digits than its factorization.

3762792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4774 (or 4767 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3762792 is about 1939.7917413991. The cubic root of 3762792 is about 155.5380813327.

It can be divided in two parts, 3762 and 792, that added together give a palindrome (4554).

The spelling of 3762792 in words is "three million, seven hundred sixty-two thousand, seven hundred ninety-two".