3369609158400 has 432 divisors, whose sum is σ = 12558610468320. Its totient is φ = 883829145600.

The previous prime is 3369609158393. The next prime is 3369609158401. The reversal of 3369609158400 is 48519069633.

3369609158400 is a `hidden beast` number, since 33 + 69 + 60 + 91 + 5 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×3369609158400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3369609158401) 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, 10380964 + ... + 10700636.

Almost surely, 2^{3369609158400} is an apocalyptic number.

3369609158400 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 3369609158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6279305234160).

3369609158400 is an abundant number, since it is smaller than the sum of its proper divisors (9189001309920).

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

3369609158400 is a wasteful number, since it uses less digits than its factorization.

3369609158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319769 (or 319744 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 3369609158400 in words is "three trillion, three hundred sixty-nine billion, six hundred nine million, one hundred fifty-eight thousand, four hundred".