3345432506000 has 160 divisors (see below), whose sum is σ = 8715961913568. Its totient is φ = 1234604851200.

The previous prime is 3345432505997. The next prime is 3345432506033. The reversal of 3345432506000 is 6052345433.

It can be written as a sum of positive squares in 16 ways, for example, as 1313792779264 + 2031639726736 = 1146208^2 + 1425356^2 .

It is a super-2 number, since 2×3345432506000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52410104 + ... + 52473896.

Almost surely, 2^{3345432506000} 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 3345432506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357980956784).

3345432506000 is an abundant number, since it is smaller than the sum of its proper divisors (5370529407568).

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

3345432506000 is a wasteful number, since it uses less digits than its factorization.

3345432506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65846 (or 65830 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

The spelling of 3345432506000 in words is "three trillion, three hundred forty-five billion, four hundred thirty-two million, five hundred six thousand".