3735972 has 36 divisors (see below), whose sum is σ = 9518236. Its totient is φ = 1235520.

The previous prime is 3735967. The next prime is 3736003. The reversal of 3735972 is 2795373.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2056356 + 1679616 = 1434^2 + 1296^2 .

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

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5322 + ... + 5982.

Almost surely, 2^3735972 is an apocalyptic number.

It is an amenable number.

3735972 is an abundant number, since it is smaller than the sum of its proper divisors (5782264).

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

3735972 is a wasteful number, since it uses less digits than its factorization.

3735972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 823 counting only the distinct ones).

The product of its digits is 39690, while the sum is 36.

The square root of 3735972 is about 1932.8662654203. The cubic root of 3735972 is about 155.1676576422.

The spelling of 3735972 in words is "three million, seven hundred thirty-five thousand, nine hundred seventy-two".