3760672 has 48 divisors (see below), whose sum is σ = 8128512. Its totient is φ = 1704960.

The previous prime is 3760639. The next prime is 3760693. The reversal of 3760672 is 2760673.

3760672 is digitally balanced in base 5, because in such base 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 (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16753 + ... + 16975.

It is an arithmetic number, because the mean of its divisors is an integer number (169344).

Almost surely, 2^3760672 is an apocalyptic number.

3760672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3760672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4064256).

3760672 is an abundant number, since it is smaller than the sum of its proper divisors (4367840).

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

3760672 is a wasteful number, since it uses less digits than its factorization.

3760672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 31.

The square root of 3760672 is about 1939.2452139944. The cubic root of 3760672 is about 155.5088652011.

Subtracting from 3760672 its reverse (2760673), we obtain a palindrome (999999).

The spelling of 3760672 in words is "three million, seven hundred sixty thousand, six hundred seventy-two".