3363346022400 has 1920 divisors, whose sum is σ = 15362878275360. Its totient is φ = 708355031040.

The previous prime is 3363346022383. The next prime is 3363346022417. The reversal of 3363346022400 is 42206433633.

3363346022400 is a `hidden beast` number, since 3 + 3 + 6 + 3 + 3 + 4 + 602 + 2 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3363346022383) and next prime (3363346022417).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a super-2 number, since 2×3363346022400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 6038322922 + ... + 6038323478.

Almost surely, 2^{3363346022400} is an apocalyptic number.

3363346022400 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 3363346022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7681439137680).

3363346022400 is an abundant number, since it is smaller than the sum of its proper divisors (11999532252960).

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

3363346022400 is an equidigital number, since it uses as much as digits as its factorization.

3363346022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 36.

The spelling of 3363346022400 in words is "three trillion, three hundred sixty-three billion, three hundred forty-six million, twenty-two thousand, four hundred".