3436114898944 has 312 divisors, whose sum is σ = 9061305545040. Its totient is φ = 1287779254272.

The previous prime is 3436114898897. The next prime is 3436114898947. The reversal of 3436114898944 is 4498984116343.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3436114898947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49539232 + ... + 49608544.

Almost surely, 2^{3436114898944} 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 3436114898944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4530652772520).

3436114898944 is an abundant number, since it is smaller than the sum of its proper divisors (5625190646096).

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

3436114898944 is a wasteful number, since it uses less digits than its factorization.

3436114898944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69383 (or 69354 counting only the distinct ones).

The product of its digits is 71663616, while the sum is 64.

The spelling of 3436114898944 in words is "three trillion, four hundred thirty-six billion, one hundred fourteen million, eight hundred ninety-eight thousand, nine hundred forty-four".