3552428880 has 1280 divisors, whose sum is σ = 17278894080. Its totient is φ = 646963200.

The previous prime is 3552428837. The next prime is 3552428923. The reversal of 3552428880 is 888242553.

It is an interprime number because it is at equal distance from previous prime (3552428837) and next prime (3552428923).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 67026934 + ... + 67026986.

It is an arithmetic number, because the mean of its divisors is an integer number (13499136).

Almost surely, 2^3552428880 is an apocalyptic number.

3552428880 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 3552428880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639447040).

3552428880 is an abundant number, since it is smaller than the sum of its proper divisors (13726465200).

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

3552428880 is a wasteful number, since it uses less digits than its factorization.

3552428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The square root of 3552428880 is about 59602.2556620133. The cubic root of 3552428880 is about 1525.8381317760.

The spelling of 3552428880 in words is "three billion, five hundred fifty-two million, four hundred twenty-eight thousand, eight hundred eighty".