3435006664600 has 144 divisors (see below), whose sum is σ = 9431233974000. Its totient is φ = 1139725267200.

The previous prime is 3435006664499. The next prime is 3435006664627. The reversal of 3435006664600 is 64666005343.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 68826 + ... + 2621974.

It is an arithmetic number, because the mean of its divisors is an integer number (65494680375).

Almost surely, 2^{3435006664600} 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 3435006664600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4715616987000).

3435006664600 is an abundant number, since it is smaller than the sum of its proper divisors (5996227309400).

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

3435006664600 is a wasteful number, since it uses less digits than its factorization.

3435006664600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553234 (or 2553194 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 3435006664600 in words is "three trillion, four hundred thirty-five billion, six million, six hundred sixty-four thousand, six hundred".