3645893472 has 192 divisors, whose sum is σ = 10540647936. Its totient is φ = 1096704000.

The previous prime is 3645893467. The next prime is 3645893473. The reversal of 3645893472 is 2743985463.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3645893473) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14525347 + ... + 14525597.

It is an arithmetic number, because the mean of its divisors is an integer number (54899208).

Almost surely, 2^3645893472 is an apocalyptic number.

3645893472 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 3645893472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5270323968).

3645893472 is an abundant number, since it is smaller than the sum of its proper divisors (6894754464).

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

3645893472 is a wasteful number, since it uses less digits than its factorization.

3645893472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 493 (or 485 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 51.

The square root of 3645893472 is about 60381.2344358742. The cubic root of 3645893472 is about 1539.1040878783.

The spelling of 3645893472 in words is "three billion, six hundred forty-five million, eight hundred ninety-three thousand, four hundred seventy-two".