3462288506880 has 864 divisors, whose sum is σ = 13073545364544. Its totient is φ = 780039880704.

The previous prime is 3462288506849. The next prime is 3462288506893. The reversal of 3462288506880 is 886058822643.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7996047144 + ... + 7996047576.

It is an arithmetic number, because the mean of its divisors is an integer number (15131418246).

Almost surely, 2^{3462288506880} is an apocalyptic number.

3462288506880 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 3462288506880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536772682272).

3462288506880 is an abundant number, since it is smaller than the sum of its proper divisors (9611256857664).

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

3462288506880 is an frugal number, since it uses more digits than its factorization.

3462288506880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 35389440, while the sum is 60.

The spelling of 3462288506880 in words is "three trillion, four hundred sixty-two billion, two hundred eighty-eight million, five hundred six thousand, eight hundred eighty".