3420653064192 has 1872 divisors, whose sum is σ = 13225945055232. Its totient is φ = 842764124160.

The previous prime is 3420653064133. The next prime is 3420653064217. The reversal of 3420653064192 is 2914603560243.

3420653064192 is a `hidden beast` number, since 3 + 4 + 20 + 6 + 530 + 6 + 4 + 1 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a super-2 number, since 2×3420653064192² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26934276033 + ... + 26934276159.

Almost surely, 2^{3420653064192} is an apocalyptic number.

3420653064192 is a gapful number since it is divisible by the number (32) 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 3420653064192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6612972527616).

3420653064192 is an abundant number, since it is smaller than the sum of its proper divisors (9805291991040).

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

3420653064192 is a wasteful number, since it uses less digits than its factorization.

3420653064192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 3420653064192 in words is "three trillion, four hundred twenty billion, six hundred fifty-three million, sixty-four thousand, one hundred ninety-two".