3472486080 has 448 divisors, whose sum is σ = 13233684480. Its totient is φ = 754790400.

The previous prime is 3472486051. The next prime is 3472486091. The reversal of 3472486080 is 806842743.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16457175 + ... + 16457385.

Almost surely, 2^3472486080 is an apocalyptic number.

3472486080 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 3472486080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6616842240).

3472486080 is an abundant number, since it is smaller than the sum of its proper divisors (9761198400).

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

3472486080 is a wasteful number, since it uses less digits than its factorization.

3472486080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3472486080 is about 58927.8039638336. The cubic root of 3472486080 is about 1514.3055166340.

The spelling of 3472486080 in words is "three billion, four hundred seventy-two million, four hundred eighty-six thousand, eighty".