3314405532000 has 192 divisors, whose sum is σ = 10859673936384. Its totient is φ = 883704614400.

The previous prime is 3314405531971. The next prime is 3314405532001. The reversal of 3314405532000 is 2355044133.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3314405532001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95106579 + ... + 95141421.

It is an arithmetic number, because the mean of its divisors is an integer number (56560801752).

Almost surely, 2^{3314405532000} is an apocalyptic number.

3314405532000 is a gapful number since it is divisible by the number (30) 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 3314405532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429836968192).

3314405532000 is an abundant number, since it is smaller than the sum of its proper divisors (7545268404384).

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

3314405532000 is a wasteful number, since it uses less digits than its factorization.

3314405532000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42798 (or 42780 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The spelling of 3314405532000 in words is "three trillion, three hundred fourteen billion, four hundred five million, five hundred thirty-two thousand".