3316664465400 has 384 divisors, whose sum is σ = 12244643792640. Its totient is φ = 732022272000.

The previous prime is 3316664465383. The next prime is 3316664465449. The reversal of 3316664465400 is 45644666133.

It is a happy number.

It is a super-2 number, since 2×3316664465400² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3316664465400.

It is a congruent number.

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, 5998635 + ... + 6528165.

It is an arithmetic number, because the mean of its divisors is an integer number (31887093210).

Almost surely, 2^{3316664465400} is an apocalyptic number.

3316664465400 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 3316664465400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6122321896320).

3316664465400 is an abundant number, since it is smaller than the sum of its proper divisors (8927979327240).

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

3316664465400 is a wasteful number, since it uses less digits than its factorization.

3316664465400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529647 (or 529638 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 3316664465400 in words is "three trillion, three hundred sixteen billion, six hundred sixty-four million, four hundred sixty-five thousand, four hundred".