3676464 has 90 divisors (see below), whose sum is σ = 11362988. Its totient is φ = 1108800.

The previous prime is 3676459. The next prime is 3676489. The reversal of 3676464 is 4646763.

3676464 is a `hidden beast` number, since 3 + 6 + 7 + 646 + 4 = 666.

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

It is an Ulam number.

It is a d-powerful number, because it can be written as 3² + 6⁷ + 7⁵ + 6⁸ + 4⁶ + 6⁸ + 4⁷ .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17319 + ... + 17529.

Almost surely, 2^3676464 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 3676464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5681494).

3676464 is an abundant number, since it is smaller than the sum of its proper divisors (7686524).

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

3676464 is a wasteful number, since it uses less digits than its factorization.

3676464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 227 counting only the distinct ones).

The product of its digits is 72576, while the sum is 36.

The square root of 3676464 is about 1917.4107541161. The cubic root of 3676464 is about 154.3393875575.

Subtracting 3676464 from its reverse (4646763), we obtain a cube (970299 = 99³).

The spelling of 3676464 in words is "three million, six hundred seventy-six thousand, four hundred sixty-four".