3353400410112 has 384 divisors, whose sum is σ = 9985785001920. Its totient is φ = 1083829125120.

The previous prime is 3353400410099. The next prime is 3353400410119. The reversal of 3353400410112 is 2110140043533.

It is a happy number.

3353400410112 is a `hidden beast` number, since 3 + 3 + 534 + 0 + 0 + 4 + 10 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3353400410112² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353400410119) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1566276562 + ... + 1566278702.

Almost surely, 2^{3353400410112} is an apocalyptic number.

3353400410112 is a gapful number since it is divisible by the number (32) 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 3353400410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992892500960).

3353400410112 is an abundant number, since it is smaller than the sum of its proper divisors (6632384591808).

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

3353400410112 is a wasteful number, since it uses less digits than its factorization.

3353400410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2306 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 3353400410112 its reverse (2110140043533), we get a palindrome (5463540453645).

The spelling of 3353400410112 in words is "three trillion, three hundred fifty-three billion, four hundred million, four hundred ten thousand, one hundred twelve".