3355105244400 has 900 divisors, whose sum is σ = 15084677378232. Its totient is φ = 707885982720.

The previous prime is 3355105244383. The next prime is 3355105244429. The reversal of 3355105244400 is 44425015533.

3355105244400 is a `hidden beast` number, since 3 + 3 + 5 + 5 + 1 + 0 + 5 + 244 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (900).

It is a super-2 number, since 2×3355105244400² (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 179 ways as a sum of consecutive naturals, for example, 20557519 + ... + 20720081.

Almost surely, 2^{3355105244400} is an apocalyptic number.

3355105244400 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 3355105244400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7542338689116).

3355105244400 is an abundant number, since it is smaller than the sum of its proper divisors (11729572133832).

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

3355105244400 is a wasteful number, since it uses less digits than its factorization.

3355105244400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162620 (or 162593 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 3355105244400 in words is "three trillion, three hundred fifty-five billion, one hundred five million, two hundred forty-four thousand, four hundred".