3472557480 has 576 divisors, whose sum is σ = 14251386240. Its totient is φ = 756822528.

The previous prime is 3472557427. The next prime is 3472557481. The reversal of 3472557480 is 847552743.

3472557480 is a `hidden beast` number, since 3 + 4 + 72 + 5 + 574 + 8 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3472557481) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 10954282 + ... + 10954598.

It is an arithmetic number, because the mean of its divisors is an integer number (24741990).

Almost surely, 2^3472557480 is an apocalyptic number.

3472557480 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 3472557480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7125693120).

3472557480 is an abundant number, since it is smaller than the sum of its proper divisors (10778828760).

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

3472557480 is a wasteful number, since it uses less digits than its factorization.

3472557480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 3472557480 is about 58928.4097867913. The cubic root of 3472557480 is about 1514.3158954299.

The spelling of 3472557480 in words is "three billion, four hundred seventy-two million, five hundred fifty-seven thousand, four hundred eighty".