3494384678400 has 1920 divisors, whose sum is σ = 15104358973440. Its totient is φ = 690978816000.

The previous prime is 3494384678399. The next prime is 3494384678401. The reversal of 3494384678400 is 48764834943.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3494384678399) and next prime (3494384678401).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3494384678401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6141273316 + ... + 6141273884.

It is an arithmetic number, because the mean of its divisors is an integer number (7866853632).

Almost surely, 2^{3494384678400} is an apocalyptic number.

3494384678400 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 3494384678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7552179486720).

3494384678400 is an abundant number, since it is smaller than the sum of its proper divisors (11609974295040).

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

3494384678400 is a wasteful number, since it uses less digits than its factorization.

3494384678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 60.

The spelling of 3494384678400 in words is "three trillion, four hundred ninety-four billion, three hundred eighty-four million, six hundred seventy-eight thousand, four hundred".