3504552480 has 960 divisors, whose sum is σ = 15245024256. Its totient is φ = 746496000.

The previous prime is 3504552463. The next prime is 3504552497. The reversal of 3504552480 is 842554053.

3504552480 is a `hidden beast` number, since 3 + 50 + 4 + 5 + 524 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (3504552463) and next prime (3504552497).

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 (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 57451650 + ... + 57451710.

Almost surely, 2^3504552480 is an apocalyptic number.

3504552480 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 3504552480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7622512128).

3504552480 is an abundant number, since it is smaller than the sum of its proper divisors (11740471776).

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

3504552480 is a wasteful number, since it uses less digits than its factorization.

3504552480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 3504552480 is about 59199.2608061959. The cubic root of 3504552480 is about 1518.9524869483.

The spelling of 3504552480 in words is "three billion, five hundred four million, five hundred fifty-two thousand, four hundred eighty".