3323150342400 has 864 divisors, whose sum is σ = 13380043622400. Its totient is φ = 709425561600.

The previous prime is 3323150342399. The next prime is 3323150342459. The reversal of 3323150342400 is 42430513233.

It is a super-2 number, since 2×3323150342400² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 181296436 + ... + 181314764.

It is an arithmetic number, because the mean of its divisors is an integer number (15486161600).

Almost surely, 2^{3323150342400} is an apocalyptic number.

3323150342400 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 3323150342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6690021811200).

3323150342400 is an abundant number, since it is smaller than the sum of its proper divisors (10056893280000).

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

3323150342400 is a wasteful number, since it uses less digits than its factorization.

3323150342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18455 (or 18436 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 3323150342400 its reverse (42430513233), we get a palindrome (3365580855633).

The spelling of 3323150342400 in words is "three trillion, three hundred twenty-three billion, one hundred fifty million, three hundred forty-two thousand, four hundred".