3627972 has 36 divisors (see below), whose sum is σ = 9238320. Its totient is φ = 1200432.

The previous prime is 3627971. The next prime is 3627973. The reversal of 3627972 is 2797263.

It is an interprime number because it is at equal distance from previous prime (3627971) and next prime (3627973).

It is a tau number, because it is divible by the number of its divisors (36).

It is a hoax number, since the sum of its digits (36) 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 (36).

It is not an unprimeable number, because it can be changed into a prime (3627971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6163 + ... + 6725.

It is an arithmetic number, because the mean of its divisors is an integer number (256620).

Almost surely, 2^3627972 is an apocalyptic number.

It is an amenable number.

3627972 is an abundant number, since it is smaller than the sum of its proper divisors (5610348).

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

3627972 is a wasteful number, since it uses less digits than its factorization.

3627972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 752 (or 747 counting only the distinct ones).

The product of its digits is 31752, while the sum is 36.

The square root of 3627972 is about 1904.7236019958. The cubic root of 3627972 is about 153.6578110837.

The spelling of 3627972 in words is "three million, six hundred twenty-seven thousand, nine hundred seventy-two".