3677472 has 54 divisors (see below), whose sum is σ = 10551177. Its totient is φ = 1214976.

The previous prime is 3677459. The next prime is 3677473. The reversal of 3677472 is 2747763.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 2322576 + 1354896 = 1524^2 + 1164^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=1356.

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

It is not an unprimeable number, because it can be changed into a prime (3677473) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 32488 + ... + 32600.

Almost surely, 2^3677472 is an apocalyptic number.

3677472 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 3677472

3677472 is an abundant number, since it is smaller than the sum of its proper divisors (6873705).

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

3677472 is a wasteful number, since it uses less digits than its factorization.

3677472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 118 counting only the distinct ones).

The product of its digits is 49392, while the sum is 36.

The square root of 3677472 is about 1917.6735905779. The cubic root of 3677472 is about 154.3534916791.

The spelling of 3677472 in words is "three million, six hundred seventy-seven thousand, four hundred seventy-two".