3700672 has 28 divisors (see below), whose sum is σ = 7488936. Its totient is φ = 1813760.

The previous prime is 3700607. The next prime is 3700691. The reversal of 3700672 is 2760073.

3700672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 2847 + ... + 3937.

It is an arithmetic number, because the mean of its divisors is an integer number (267462).

Almost surely, 2^3700672 is an apocalyptic number.

3700672 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 3700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3744468).

3700672 is an abundant number, since it is smaller than the sum of its proper divisors (3788264).

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

3700672 is a wasteful number, since it uses less digits than its factorization.

3700672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156 (or 1146 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 25.

The square root of 3700672 is about 1923.7130763188. The cubic root of 3700672 is about 154.6774004970.

The spelling of 3700672 in words is "three million, seven hundred thousand, six hundred seventy-two".