3617872 has 40 divisors (see below), whose sum is σ = 7606656. Its totient is φ = 1660416.

The previous prime is 3617857. The next prime is 3617879. The reversal of 3617872 is 2787163.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3617879) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12643 + ... + 12925.

Almost surely, 2^3617872 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 3617872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3803328).

3617872 is an abundant number, since it is smaller than the sum of its proper divisors (3988784).

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

3617872 is a wasteful number, since it uses less digits than its factorization.

3617872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 349 counting only the distinct ones).

The product of its digits is 14112, while the sum is 34.

The square root of 3617872 is about 1902.0704508509. The cubic root of 3617872 is about 153.5150879785.

It can be divided in two parts, 3617 and 872, that added together give a square (4489 = 67²).

The spelling of 3617872 in words is "three million, six hundred seventeen thousand, eight hundred seventy-two".