3420994171200 has 672 divisors, whose sum is σ = 11936933606400. Its totient is φ = 855345070080.

The previous prime is 3420994171159. The next prime is 3420994171249. The reversal of 3420994171200 is 21714990243.

It is a happy number.

It is a super-2 number, since 2×3420994171200² (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 95 ways as a sum of consecutive naturals, for example, 4629220431 + ... + 4629221169.

Almost surely, 2^{3420994171200} is an apocalyptic number.

3420994171200 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 3420994171200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5968466803200).

3420994171200 is an abundant number, since it is smaller than the sum of its proper divisors (8515939435200).

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

3420994171200 is a wasteful number, since it uses less digits than its factorization.

3420994171200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1224 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The spelling of 3420994171200 in words is "three trillion, four hundred twenty billion, nine hundred ninety-four million, one hundred seventy-one thousand, two hundred".