3433340052456 has 128 divisors (see below), whose sum is σ = 9188764416000. Its totient is φ = 1065891460608.

The previous prime is 3433340052451. The next prime is 3433340052529. The reversal of 3433340052456 is 6542500433343.

3433340052456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3433340052456³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3433340052451) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8189071 + ... + 8598113.

It is an arithmetic number, because the mean of its divisors is an integer number (71787222000).

Almost surely, 2^{3433340052456} 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 3433340052456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4594382208000).

3433340052456 is an abundant number, since it is smaller than the sum of its proper divisors (5755424363544).

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

3433340052456 is a wasteful number, since it uses less digits than its factorization.

3433340052456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409383 (or 409379 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 42.

Adding to 3433340052456 its reverse (6542500433343), we get a palindrome (9975840485799).

The spelling of 3433340052456 in words is "three trillion, four hundred thirty-three billion, three hundred forty million, fifty-two thousand, four hundred fifty-six".