3706496 has 32 divisors (see below), whose sum is σ = 7711200. Its totient is φ = 1771264.

The previous prime is 3706489. The next prime is 3706499. The reversal of 3706496 is 6946073.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×3706496² = 27476225196032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3706499) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2315 + ... + 3573.

It is an arithmetic number, because the mean of its divisors is an integer number (240975).

Almost surely, 2^3706496 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 3706496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3855600).

3706496 is an abundant number, since it is smaller than the sum of its proper divisors (4004704).

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

3706496 is a wasteful number, since it uses less digits than its factorization.

3706496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1296 (or 1284 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 3706496 is about 1925.2262204738. The cubic root of 3706496 is about 154.7585000938.

The spelling of 3706496 in words is "three million, seven hundred six thousand, four hundred ninety-six".