3462288480 has 144 divisors (see below), whose sum is σ = 13502964384. Its totient is φ = 791377920.

The previous prime is 3462288443. The next prime is 3462288497. The reversal of 3462288480 is 848822643.

3462288480 is a `hidden beast` number, since 34 + 62 + 2 + 88 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161661 + ... + 181820.

It is an arithmetic number, because the mean of its divisors is an integer number (93770586).

Almost surely, 2^3462288480 is an apocalyptic number.

3462288480 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3462288480 is an abundant number, since it is smaller than the sum of its proper divisors (10040675904).

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

3462288480 is a wasteful number, since it uses less digits than its factorization.

3462288480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343509 (or 343498 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The square root of 3462288480 is about 58841.2141275144. The cubic root of 3462288480 is about 1512.8217167793.

The spelling of 3462288480 in words is "three billion, four hundred sixty-two million, two hundred eighty-eight thousand, four hundred eighty".