3735672 has 16 divisors (see below), whose sum is σ = 9339240. Its totient is φ = 1245216.

The previous prime is 3735671. The next prime is 3735679. The reversal of 3735672 is 2765373.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735671) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 77803 + ... + 77850.

Almost surely, 2^3735672 is an apocalyptic number.

It is an amenable number.

3735672 is an abundant number, since it is smaller than the sum of its proper divisors (5603568).

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

3735672 is a wasteful number, since it uses less digits than its factorization.

3735672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155662 (or 155658 counting only the distinct ones).

The product of its digits is 26460, while the sum is 33.

The square root of 3735672 is about 1932.7886589071. The cubic root of 3735672 is about 155.1635041900.

Subtracting from 3735672 its reverse (2765373), we obtain a cube (970299 = 99³).

It can be divided in two parts, 3735 and 672, that multiplied together give a triangular number (2509920 = T₂₂₄₀).

The spelling of 3735672 in words is "three million, seven hundred thirty-five thousand, six hundred seventy-two".