3459348520992 has 1152 divisors, whose sum is σ = 12983465617920. Its totient is φ = 899011104768.

The previous prime is 3459348520981. The next prime is 3459348520997. The reversal of 3459348520992 is 2990258439543.

3459348520992 is a `hidden beast` number, since 3 + 45 + 9 + 3 + 485 + 20 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3459348520997) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 3254325453 + ... + 3254326515.

It is an arithmetic number, because the mean of its divisors is an integer number (11270369460).

Almost surely, 2^{3459348520992} is an apocalyptic number.

3459348520992 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 3459348520992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6491732808960).

3459348520992 is an abundant number, since it is smaller than the sum of its proper divisors (9524117096928).

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

3459348520992 is a wasteful number, since it uses less digits than its factorization.

3459348520992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1194 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

It can be divided in two parts, 34593 and 48520992, that added together give a triangular number (48555585 = T₉₈₅₄).

The spelling of 3459348520992 in words is "three trillion, four hundred fifty-nine billion, three hundred forty-eight million, five hundred twenty thousand, nine hundred ninety-two".