3648576512 has 88 divisors (see below), whose sum is σ = 8561438304. Its totient is φ = 1521303552.

The previous prime is 3648576467. The next prime is 3648576553. The reversal of 3648576512 is 2156758463.

It is a super-2 number, since 2×3648576512² = 26624221127836172288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 258338 + ... + 272094.

Almost surely, 2^3648576512 is an apocalyptic number.

3648576512 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 3648576512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4280719152).

3648576512 is an abundant number, since it is smaller than the sum of its proper divisors (4912861792).

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

3648576512 is a wasteful number, since it uses less digits than its factorization.

3648576512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13821 (or 13803 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 47.

The square root of 3648576512 is about 60403.4478486121. The cubic root of 3648576512 is about 1539.4815413344.

The spelling of 3648576512 in words is "three billion, six hundred forty-eight million, five hundred seventy-six thousand, five hundred twelve".