3482314260480 has 2160 divisors, whose sum is σ = 14858958965760. Its totient is φ = 773967052800.

The previous prime is 3482314260473. The next prime is 3482314260497. The reversal of 3482314260480 is 840624132843.

It is a happy number.

3482314260480 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 31 + 4 + 2 + 604 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 112332718065 + ... + 112332718095.

Almost surely, 2^{3482314260480} is an apocalyptic number.

3482314260480 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 3482314260480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7429479482880).

3482314260480 is an abundant number, since it is smaller than the sum of its proper divisors (11376644705280).

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

3482314260480 is an frugal number, since it uses more digits than its factorization.

3482314260480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 3482314260480 in words is "three trillion, four hundred eighty-two billion, three hundred fourteen million, two hundred sixty thousand, four hundred eighty".