3394956871800 has 1920 divisors, whose sum is σ = 14038126502400. Its totient is φ = 756946944000.

The previous prime is 3394956871729. The next prime is 3394956871819. The reversal of 3394956871800 is 81786594933.

3394956871800 is a `hidden beast` number, since 3 + 3 + 9 + 495 + 68 + 7 + 1 + 80 + 0 = 666.

It is a super-2 number, since 2×3394956871800² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 18756667710 + ... + 18756667890.

It is an arithmetic number, because the mean of its divisors is an integer number (7311524220).

Almost surely, 2^{3394956871800} is an apocalyptic number.

3394956871800 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 3394956871800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7019063251200).

3394956871800 is an abundant number, since it is smaller than the sum of its proper divisors (10643169630600).

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

3394956871800 is a wasteful number, since it uses less digits than its factorization.

3394956871800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 3394956871800 in words is "three trillion, three hundred ninety-four billion, nine hundred fifty-six million, eight hundred seventy-one thousand, eight hundred".