3434004220512 has 96 divisors (see below), whose sum is σ = 9149931431424. Its totient is φ = 1127444313600.

The previous prime is 3434004220501. The next prime is 3434004220529. The reversal of 3434004220512 is 2150224004343.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 3434004220512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60824937 + ... + 60881367.

It is an arithmetic number, because the mean of its divisors is an integer number (95311785744).

Almost surely, 2^{3434004220512} is an apocalyptic number.

3434004220512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3434004220512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574965715712).

3434004220512 is an abundant number, since it is smaller than the sum of its proper divisors (5715927210912).

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

3434004220512 is a wasteful number, since it uses less digits than its factorization.

3434004220512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65972 (or 65964 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

Adding to 3434004220512 its reverse (2150224004343), we get a palindrome (5584228224855).

The spelling of 3434004220512 in words is "three trillion, four hundred thirty-four billion, four million, two hundred twenty thousand, five hundred twelve".