3553260480 has 896 divisors, whose sum is σ = 16093440000. Its totient is φ = 731566080.

The previous prime is 3553260407. The next prime is 3553260523. The reversal of 3553260480 is 840623553.

It is a happy number.

3553260480 is a `hidden beast` number, since 3 + 553 + 2 + 60 + 48 + 0 = 666.

3553260480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 32598666 + ... + 32598774.

Almost surely, 2^3553260480 is an apocalyptic number.

3553260480 is a gapful number since it is divisible by the number (30) 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 3553260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8046720000).

3553260480 is an abundant number, since it is smaller than the sum of its proper divisors (12540179520).

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

3553260480 is a wasteful number, since it uses less digits than its factorization.

3553260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3553260480 is about 59609.2314998273. The cubic root of 3553260480 is about 1525.9571853431.

The spelling of 3553260480 in words is "three billion, five hundred fifty-three million, two hundred sixty thousand, four hundred eighty".