3792768 has 128 divisors (see below), whose sum is σ = 12337920. Its totient is φ = 1007616.

The previous prime is 3792743. The next prime is 3792773. The reversal of 3792768 is 8672973.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (127008) is a multiple of the sum of its prime divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45655 + ... + 45737.

It is an arithmetic number, because the mean of its divisors is an integer number (96390).

Almost surely, 2^3792768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6168960).

3792768 is an abundant number, since it is smaller than the sum of its proper divisors (8545152).

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

3792768 is a wasteful number, since it uses less digits than its factorization.

3792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 112 counting only the distinct ones).

The product of its digits is 127008, while the sum is 42.

The square root of 3792768 is about 1947.5030166857. The cubic root of 3792768 is about 155.9500168600.

It can be divided in two parts, 3792 and 768, that added together give a triangular number (4560 = T₉₅).

The spelling of 3792768 in words is "three million, seven hundred ninety-two thousand, seven hundred sixty-eight".