3426445193472 has 1944 divisors, whose sum is σ = 13208316226560. Its totient is φ = 880387522560.

The previous prime is 3426445193461. The next prime is 3426445193531. The reversal of 3426445193472 is 2743915446243.

3426445193472 is a `hidden beast` number, since 3 + 4 + 2 + 6 + 445 + 193 + 4 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

It is a super-2 number, since 2×3426445193472² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 43372723929 + ... + 43372724007.

Almost surely, 2^{3426445193472} is an apocalyptic number.

3426445193472 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 3426445193472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6604158113280).

3426445193472 is an abundant number, since it is smaller than the sum of its proper divisors (9781871033088).

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

3426445193472 is an frugal number, since it uses more digits than its factorization.

3426445193472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 139 counting only the distinct ones).

The product of its digits is 17418240, while the sum is 54.

The spelling of 3426445193472 in words is "three trillion, four hundred twenty-six billion, four hundred forty-five million, one hundred ninety-three thousand, four hundred seventy-two".