3434014145440 has 192 divisors, whose sum is σ = 8531624433024. Its totient is φ = 1304523214848.

The previous prime is 3434014145437. The next prime is 3434014145447. The reversal of 3434014145440 is 445414104343.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3434014145440.

It is not an unprimeable number, because it can be changed into a prime (3434014145447) 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, 477805527 + ... + 477812713.

It is an arithmetic number, because the mean of its divisors is an integer number (44435543922).

Almost surely, 2^{3434014145440} 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 3434014145440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265812216512).

3434014145440 is an abundant number, since it is smaller than the sum of its proper divisors (5097610287584).

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

3434014145440 is a wasteful number, since it uses less digits than its factorization.

3434014145440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9159 (or 9151 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 37.

Adding to 3434014145440 its reverse (445414104343), we get a palindrome (3879428249783).

The spelling of 3434014145440 in words is "three trillion, four hundred thirty-four billion, fourteen million, one hundred forty-five thousand, four hundred forty".