3736964 has 36 divisors (see below), whose sum is σ = 8222592. Its totient is φ = 1454640.

The previous prime is 3736951. The next prime is 3736981. The reversal of 3736964 is 4696373.

3736964 = 161² + 162² + ... + 248².

It is a happy number.

It is an Ulam number.

It is a congruent 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, 2837 + ... + 3939.

Almost surely, 2^3736964 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 3736964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4111296).

3736964 is an abundant number, since it is smaller than the sum of its proper divisors (4485628).

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

3736964 is a wasteful number, since it uses less digits than its factorization.

3736964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1123 counting only the distinct ones).

The product of its digits is 81648, while the sum is 38.

The square root of 3736964 is about 1933.1228621068. The cubic root of 3736964 is about 155.1813901412.

It can be divided in two parts, 373 and 6964, that added together give a palindrome (7337).

The spelling of 3736964 in words is "three million, seven hundred thirty-six thousand, nine hundred sixty-four".