3552513664 has 192 divisors, whose sum is σ = 8841735360. Its totient is φ = 1387634688.

The previous prime is 3552513661. The next prime is 3552513677. The reversal of 3552513664 is 4663152553.

3552513664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3552513661) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53022559 + ... + 53022625.

It is an arithmetic number, because the mean of its divisors is an integer number (46050705).

Almost surely, 2^3552513664 is an apocalyptic number.

3552513664 is a gapful number since it is divisible by the number (34) 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 3552513664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4420867680).

3552513664 is an abundant number, since it is smaller than the sum of its proper divisors (5289221696).

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

3552513664 is an equidigital number, since it uses as much as digits as its factorization.

3552513664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 152 counting only the distinct ones).

The product of its digits is 324000, while the sum is 40.

The square root of 3552513664 is about 59602.9669060190. The cubic root of 3552513664 is about 1525.8502704784.

The spelling of 3552513664 in words is "three billion, five hundred fifty-two million, five hundred thirteen thousand, six hundred sixty-four".