3315216755400 has 192 divisors, whose sum is σ = 11217080275200. Its totient is φ = 803286048000.

The previous prime is 3315216755399. The next prime is 3315216755407. The reversal of 3315216755400 is 45576125133.

It is not an unprimeable number, because it can be changed into a prime (3315216755407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13147711 + ... + 13397489.

It is an arithmetic number, because the mean of its divisors is an integer number (58422293100).

Almost surely, 2^{3315216755400} is an apocalyptic number.

3315216755400 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 3315216755400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5608540137600).

3315216755400 is an abundant number, since it is smaller than the sum of its proper divisors (7901863519800).

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

3315216755400 is a wasteful number, since it uses less digits than its factorization.

3315216755400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251820 (or 251811 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 42.

The spelling of 3315216755400 in words is "three trillion, three hundred fifteen billion, two hundred sixteen million, seven hundred fifty-five thousand, four hundred".