3736940 has 48 divisors (see below), whose sum is σ = 8618400. Its totient is φ = 1354752.

The previous prime is 3736933. The next prime is 3736951. The reversal of 3736940 is 496373.

It is a junction number, because it is equal to n+sod(n) for n = 3736897 and 3736906.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9671 + ... + 10049.

It is an arithmetic number, because the mean of its divisors is an integer number (179550).

Almost surely, 2^3736940 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 3736940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4309200).

3736940 is an abundant number, since it is smaller than the sum of its proper divisors (4881460).

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

3736940 is a wasteful number, since it uses less digits than its factorization.

3736940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 32.

The square root of 3736940 is about 1933.1166545245. The cubic root of 3736940 is about 155.1810579320.

The spelling of 3736940 in words is "three million, seven hundred thirty-six thousand, nine hundred forty".