3451964719104 has 1024 divisors, whose sum is σ = 11762326656000. Its totient is φ = 1003290624000.

The previous prime is 3451964719097. The next prime is 3451964719117. The reversal of 3451964719104 is 4019174691543.

3451964719104 is a `hidden beast` number, since 3 + 4 + 519 + 6 + 4 + 7 + 19 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (1024).

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 (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22860693429 + ... + 22860693579.

It is an arithmetic number, because the mean of its divisors is an integer number (11486647125).

Almost surely, 2^{3451964719104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3451964719104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5881163328000).

3451964719104 is an abundant number, since it is smaller than the sum of its proper divisors (8310361936896).

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

3451964719104 is an frugal number, since it uses more digits than its factorization.

3451964719104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 3451964719104 in words is "three trillion, four hundred fifty-one billion, nine hundred sixty-four million, seven hundred nineteen thousand, one hundred four".