3682464 has 48 divisors (see below), whose sum is σ = 9797760. Its totient is φ = 1210880.

The previous prime is 3682457. The next prime is 3682501. The reversal of 3682464 is 4642863.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3682464² = 27121082222592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8329 + ... + 8759.

It is an arithmetic number, because the mean of its divisors is an integer number (204120).

Almost surely, 2^3682464 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 3682464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4898880).

3682464 is an abundant number, since it is smaller than the sum of its proper divisors (6115296).

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

3682464 is a wasteful number, since it uses less digits than its factorization.

3682464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 3682464 is about 1918.9747262536. The cubic root of 3682464 is about 154.4233027014.

The spelling of 3682464 in words is "three million, six hundred eighty-two thousand, four hundred sixty-four".