3349479081480 has 256 divisors, whose sum is σ = 11818943262720. Its totient is φ = 743466802176.

The previous prime is 3349479081439. The next prime is 3349479081493. The reversal of 3349479081480 is 841809749433.

It is a super-2 number, since 2×3349479081480² (a number of 26 digits) contains 22 as substring.

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 (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5980749 + ... + 6516771.

It is an arithmetic number, because the mean of its divisors is an integer number (46167747120).

Almost surely, 2^{3349479081480} is an apocalyptic number.

3349479081480 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 3349479081480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5909471631360).

3349479081480 is an abundant number, since it is smaller than the sum of its proper divisors (8469464181240).

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

3349479081480 is a wasteful number, since it uses less digits than its factorization.

3349479081480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 536260 (or 536256 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 3349479081480 in words is "three trillion, three hundred forty-nine billion, four hundred seventy-nine million, eighty-one thousand, four hundred eighty".