3426143608272 has 360 divisors, whose sum is σ = 11530572183648. Its totient is φ = 873112880640.

The previous prime is 3426143608229. The next prime is 3426143608313. The reversal of 3426143608272 is 2728063416243.

3426143608272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14969803 + ... + 15196949.

Almost surely, 2^{3426143608272} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3426143608272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765286091824).

3426143608272 is an abundant number, since it is smaller than the sum of its proper divisors (8104428575376).

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

3426143608272 is a wasteful number, since it uses less digits than its factorization.

3426143608272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227247 (or 227223 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 3426143608272 in words is "three trillion, four hundred twenty-six billion, one hundred forty-three million, six hundred eight thousand, two hundred seventy-two".