3640000512 has 72 divisors (see below), whose sum is σ = 9707679576. Its totient is φ = 1213202432.

The previous prime is 3640000489. The next prime is 3640000537. The reversal of 3640000512 is 2150000463.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 388588 + ... + 397844.

It is an arithmetic number, because the mean of its divisors is an integer number (134828883).

Almost surely, 2^3640000512 is an apocalyptic number.

3640000512 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 3640000512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4853839788).

3640000512 is an abundant number, since it is smaller than the sum of its proper divisors (6067679064).

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

3640000512 is an frugal number, since it uses more digits than its factorization.

3640000512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9294 (or 9262 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 3640000512 is about 60332.4167591520. The cubic root of 3640000512 is about 1538.2744083205.

Adding to 3640000512 its reverse (2150000463), we get a palindrome (5790000975).

The spelling of 3640000512 in words is "three billion, six hundred forty million, five hundred twelve", and thus it is an aban number.