3764736 has 120 divisors (see below), whose sum is σ = 11703120. Its totient is φ = 1161216.

The previous prime is 3764711. The next prime is 3764759. The reversal of 3764736 is 6374673.

3764736 is a `hidden beast` number, since 3 + 7 + 647 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3764736.

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, 87531 + ... + 87573.

It is an arithmetic number, because the mean of its divisors is an integer number (97526).

Almost surely, 2^3764736 is an apocalyptic number.

3764736 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3764736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5851560).

3764736 is an abundant number, since it is smaller than the sum of its proper divisors (7938384).

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

3764736 is a wasteful number, since it uses less digits than its factorization.

3764736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 67 counting only the distinct ones).

The product of its digits is 63504, while the sum is 36.

The square root of 3764736 is about 1940.2927614151. The cubic root of 3764736 is about 155.5648623305.

The spelling of 3764736 in words is "three million, seven hundred sixty-four thousand, seven hundred thirty-six".