3730672 has 60 divisors (see below), whose sum is σ = 8311968. Its totient is φ = 1619200.

The previous prime is 3730651. The next prime is 3730679. The reversal of 3730672 is 2760373.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 3730672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730679) 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, 79353 + ... + 79399.

Almost surely, 2^3730672 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 3730672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4155984).

3730672 is an abundant number, since it is smaller than the sum of its proper divisors (4581296).

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

3730672 is a wasteful number, since it uses less digits than its factorization.

3730672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 28.

The square root of 3730672 is about 1931.4947579530. The cubic root of 3730672 is about 155.0942472256.

Subtracting from 3730672 its reverse (2760373), we obtain a cube (970299 = 99³).

The spelling of 3730672 in words is "three million, seven hundred thirty thousand, six hundred seventy-two".