3454067469006 has 256 divisors, whose sum is σ = 10056937144320. Its totient is φ = 852610872960.

The previous prime is 3454067468993. The next prime is 3454067469067. The reversal of 3454067469006 is 6009647604543.

It is a happy number.

3454067469006 is a `hidden beast` number, since 3 + 4 + 540 + 6 + 7 + 4 + 6 + 90 + 0 + 6 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6354315 + ... + 6876441.

It is an arithmetic number, because the mean of its divisors is an integer number (39284910720).

Almost surely, 2^{3454067469006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3454067469006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5028468572160).

3454067469006 is an abundant number, since it is smaller than the sum of its proper divisors (6602869675314).

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

3454067469006 is a wasteful number, since it uses less digits than its factorization.

3454067469006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522236 (or 522230 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 3454067469006 in words is "three trillion, four hundred fifty-four billion, sixty-seven million, four hundred sixty-nine thousand, six".