3434351504000 has 128 divisors (see below), whose sum is σ = 8540155138320. Its totient is φ = 1373499494400.

The previous prime is 3434351503939. The next prime is 3434351504009. The reversal of 3434351504000 is 4051534343.

3434351504000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 155557670464 + 3278793833536 = 394408^2 + 1810744^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (3434351504009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111936662 + ... + 111967338.

Almost surely, 2^{3434351504000} 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 3434351504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270077569160).

3434351504000 is an abundant number, since it is smaller than the sum of its proper divisors (5105803634320).

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

3434351504000 is an equidigital number, since it uses as much as digits as its factorization.

3434351504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37703 (or 37681 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 3434351504000 in words is "three trillion, four hundred thirty-four billion, three hundred fifty-one million, five hundred four thousand".