3362843174400 has 1080 divisors, whose sum is σ = 13047759760464. Its totient is φ = 857276006400.

The previous prime is 3362843174363. The next prime is 3362843174413. The reversal of 3362843174400 is 44713482633.

3362843174400 is a `hidden beast` number, since 3 + 3 + 628 + 4 + 3 + 17 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a super-2 number, since 2×3362843174400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 107 ways as a sum of consecutive naturals, for example, 1931557530 + ... + 1931559270.

Almost surely, 2^{3362843174400} is an apocalyptic number.

3362843174400 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 3362843174400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6523879880232).

3362843174400 is an abundant number, since it is smaller than the sum of its proper divisors (9684916586064).

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

3362843174400 is an frugal number, since it uses more digits than its factorization.

3362843174400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1816 (or 1774 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 3362843174400 in words is "three trillion, three hundred sixty-two billion, eight hundred forty-three million, one hundred seventy-four thousand, four hundred".