3736304 has 80 divisors (see below), whose sum is σ = 8999424. Its totient is φ = 1478400.

The previous prime is 3736301. The next prime is 3736307. The reversal of 3736304 is 4036373.

It is an interprime number because it is at equal distance from previous prime (3736301) and next prime (3736307).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3736301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52589 + ... + 52659.

Almost surely, 2^3736304 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 3736304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4499712).

3736304 is an abundant number, since it is smaller than the sum of its proper divisors (5263120).

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

3736304 is a wasteful number, since it uses less digits than its factorization.

3736304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 26.

The square root of 3736304 is about 1932.9521463295. The cubic root of 3736304 is about 155.1722538701.

The spelling of 3736304 in words is "three million, seven hundred thirty-six thousand, three hundred four".