3746496 has 112 divisors (see below), whose sum is σ = 11379200. Its totient is φ = 1078272.

The previous prime is 3746473. The next prime is 3746497. The reversal of 3746496 is 6946473.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (108864) is a multiple of the sum of its prime factors (126).

It is not an unprimeable number, because it can be changed into a prime (3746497) 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, 47385 + ... + 47463.

It is an arithmetic number, because the mean of its divisors is an integer number (101600).

Almost surely, 2^3746496 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 3746496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5689600).

3746496 is an abundant number, since it is smaller than the sum of its proper divisors (7632704).

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

3746496 is a wasteful number, since it uses less digits than its factorization.

3746496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 116 counting only the distinct ones).

The product of its digits is 108864, while the sum is 39.

The square root of 3746496 is about 1935.5867327506. The cubic root of 3746496 is about 155.3132202504.

The spelling of 3746496 in words is "three million, seven hundred forty-six thousand, four hundred ninety-six".