3658564 has 72 divisors (see below), whose sum is σ = 8671040. Its totient is φ = 1311552.

The previous prime is 3658547. The next prime is 3658607. The reversal of 3658564 is 4658563.

3658564 = T₇ + T₈ + ... + T₂₇₉.

Its product of digits (86400) is a multiple of the sum of its prime divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 159057 + ... + 159079.

Almost surely, 2^3658564 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 3658564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4335520).

3658564 is an abundant number, since it is smaller than the sum of its proper divisors (5012476).

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

3658564 is a wasteful number, since it uses less digits than its factorization.

3658564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 64 counting only the distinct ones).

The product of its digits is 86400, while the sum is 37.

The square root of 3658564 is about 1912.7373055388. The cubic root of 3658564 is about 154.0884969508.

Subtracting 3658564 from its reverse (4658563), we obtain a palindrome (999999).

It can be divided in two parts, 36 and 58564, that multiplied together give a square (2108304 = 1452²).

The spelling of 3658564 in words is "three million, six hundred fifty-eight thousand, five hundred sixty-four".