3442654272144 has 320 divisors, whose sum is σ = 9949310631936. Its totient is φ = 1020197240832.

The previous prime is 3442654272133. The next prime is 3442654272173. The reversal of 3442654272144 is 4412724562443.

It is a super-2 number, since 2×3442654272144² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 3442654272093 and 3442654272102.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 676752769 + ... + 676757855.

Almost surely, 2^{3442654272144} is an apocalyptic number.

3442654272144 is a gapful number since it is divisible by the number (34) 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 3442654272144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4974655315968).

3442654272144 is an abundant number, since it is smaller than the sum of its proper divisors (6506656359792).

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

3442654272144 is a wasteful number, since it uses less digits than its factorization.

3442654272144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5582 (or 5576 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 48.

The spelling of 3442654272144 in words is "three trillion, four hundred forty-two billion, six hundred fifty-four million, two hundred seventy-two thousand, one hundred forty-four".