3552920064 has 240 divisors, whose sum is σ = 10844618400. Its totient is φ = 1148442624.

The previous prime is 3552920053. The next prime is 3552920081. The reversal of 3552920064 is 4600292553.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25560507 + ... + 25560645.

It is an arithmetic number, because the mean of its divisors is an integer number (45185910).

Almost surely, 2^3552920064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3552920064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5422309200).

3552920064 is an abundant number, since it is smaller than the sum of its proper divisors (7291698336).

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

3552920064 is an equidigital number, since it uses as much as digits as its factorization.

3552920064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3552920064 is about 59606.3760347834. The cubic root of 3552920064 is about 1525.9084529339.

The spelling of 3552920064 in words is "three billion, five hundred fifty-two million, nine hundred twenty thousand, sixty-four".