3316402692400 has 360 divisors, whose sum is σ = 9626141878560. Its totient is φ = 1093869342720.

The previous prime is 3316402692391. The next prime is 3316402692401. The reversal of 3316402692400 is 42962046133.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3316402692401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64517109 + ... + 64568491.

It is an arithmetic number, because the mean of its divisors is an integer number (26739282996).

Almost surely, 2^{3316402692400} 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 3316402692400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4813070939280).

3316402692400 is an abundant number, since it is smaller than the sum of its proper divisors (6309739186160).

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

3316402692400 is a wasteful number, since it uses less digits than its factorization.

3316402692400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51541 (or 51523 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 3316402692400 in words is "three trillion, three hundred sixteen billion, four hundred two million, six hundred ninety-two thousand, four hundred".