3494795673600 has 3024 divisors, whose sum is σ = 17053807236480. Its totient is φ = 687970713600.

The previous prime is 3494795673541. The next prime is 3494795673653. The reversal of 3494795673600 is 63765974943.

3494795673600 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 7 + 9 + 567 + 3 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3024).

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

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 167 ways as a sum of consecutive naturals, for example, 183936614391 + ... + 183936614409.

It is an arithmetic number, because the mean of its divisors is an integer number (5639486520).

Almost surely, 2^{3494795673600} is an apocalyptic number.

3494795673600 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 3494795673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8526903618240).

3494795673600 is an abundant number, since it is smaller than the sum of its proper divisors (13559011562880).

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

3494795673600 is an frugal number, since it uses more digits than its factorization.

3494795673600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 102876480, while the sum is 63.

The spelling of 3494795673600 in words is "three trillion, four hundred ninety-four billion, seven hundred ninety-five million, six hundred seventy-three thousand, six hundred".