3433586945600 has 672 divisors, whose sum is σ = 10439578490880. Its totient is φ = 1085226024960.

The previous prime is 3433586945599. The next prime is 3433586945609. The reversal of 3433586945600 is 65496853343.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (3433586945609) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3230090669 + ... + 3230091731.

It is an arithmetic number, because the mean of its divisors is an integer number (15535087040).

Almost surely, 2^{3433586945600} 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 3433586945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5219789245440).

3433586945600 is an abundant number, since it is smaller than the sum of its proper divisors (7005991545280).

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

3433586945600 is a wasteful number, since it uses less digits than its factorization.

3433586945600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1507 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 56.

The spelling of 3433586945600 in words is "three trillion, four hundred thirty-three billion, five hundred eighty-six million, nine hundred forty-five thousand, six hundred".