3435242014288 has 320 divisors, whose sum is σ = 8219581913088. Its totient is φ = 1357587578880.

The previous prime is 3435242014283. The next prime is 3435242014361. The reversal of 3435242014288 is 8824102425343.

It is a super-2 number, since 2×3435242014288² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3435242014283) by changing a digit.

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, 9360332281 + ... + 9360332647.

Almost surely, 2^{3435242014288} 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 3435242014288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4109790956544).

3435242014288 is an abundant number, since it is smaller than the sum of its proper divisors (4784339898800).

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

3435242014288 is a wasteful number, since it uses less digits than its factorization.

3435242014288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 910 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 46.

The spelling of 3435242014288 in words is "three trillion, four hundred thirty-five billion, two hundred forty-two million, fourteen thousand, two hundred eighty-eight".