3315400321024 has 192 divisors, whose sum is σ = 7447403658240. Its totient is φ = 1462468608000.

The previous prime is 3315400321019. The next prime is 3315400321031. The reversal of 3315400321024 is 4201230045133.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3315400320983 and 3315400321001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 176407372 + ... + 176426164.

It is an arithmetic number, because the mean of its divisors is an integer number (38788560720).

Almost surely, 2^{3315400321024} 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 3315400321024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3723701829120).

3315400321024 is an abundant number, since it is smaller than the sum of its proper divisors (4132003337216).

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

3315400321024 is a wasteful number, since it uses less digits than its factorization.

3315400321024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19058 (or 19038 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

Adding to 3315400321024 its reverse (4201230045133), we get a palindrome (7516630366157).

The spelling of 3315400321024 in words is "three trillion, three hundred fifteen billion, four hundred million, three hundred twenty-one thousand, twenty-four".