3480390726912 has 504 divisors, whose sum is σ = 11445610770720. Its totient is φ = 1046990499840.

The previous prime is 3480390726821. The next prime is 3480390726929. The reversal of 3480390726912 is 2196270930843.

3480390726912 is a `hidden beast` number, since 3 + 480 + 3 + 9 + 0 + 72 + 6 + 91 + 2 = 666.

3480390726912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3480390726912² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 285341998 + ... + 285354194.

It is an arithmetic number, because the mean of its divisors is an integer number (22709545180).

Almost surely, 2^{3480390726912} is an apocalyptic number.

3480390726912 is a gapful number since it is divisible by the number (32) 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 3480390726912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5722805385360).

3480390726912 is an abundant number, since it is smaller than the sum of its proper divisors (7965220043808).

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

3480390726912 is a wasteful number, since it uses less digits than its factorization.

3480390726912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12381 (or 12352 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The spelling of 3480390726912 in words is "three trillion, four hundred eighty billion, three hundred ninety million, seven hundred twenty-six thousand, nine hundred twelve".