3645434592 has 96 divisors (see below), whose sum is σ = 10657332000. Its totient is φ = 1212309504.

The previous prime is 3645434581. The next prime is 3645434609. The reversal of 3645434592 is 2954345463.

3645434592 is a `hidden beast` number, since 3 + 6 + 4 + 54 + 3 + 4 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 383238 + ... + 392634.

It is an arithmetic number, because the mean of its divisors is an integer number (111013875).

Almost surely, 2^3645434592 is an apocalyptic number.

3645434592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3645434592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328666000).

3645434592 is an abundant number, since it is smaller than the sum of its proper divisors (7011897408).

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

3645434592 is a wasteful number, since it uses less digits than its factorization.

3645434592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9865 (or 9851 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 3645434592 is about 60377.4344602352. The cubic root of 3645434592 is about 1539.0395135180.

The spelling of 3645434592 in words is "three billion, six hundred forty-five million, four hundred thirty-four thousand, five hundred ninety-two".