3361049276400 has 720 divisors, whose sum is σ = 12168669726720. Its totient is φ = 858159360000.

The previous prime is 3361049276353. The next prime is 3361049276407. The reversal of 3361049276400 is 46729401633.

3361049276400 is a `hidden beast` number, since 3 + 3 + 610 + 4 + 9 + 27 + 6 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×3361049276400² (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 not an unprimeable number, because it can be changed into a prime (3361049276407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6212660130 + ... + 6212660670.

It is an arithmetic number, because the mean of its divisors is an integer number (16900930176).

Almost surely, 2^{3361049276400} is an apocalyptic number.

3361049276400 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 3361049276400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6084334863360).

3361049276400 is an abundant number, since it is smaller than the sum of its proper divisors (8807620450320).

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

3361049276400 is a wasteful number, since it uses less digits than its factorization.

3361049276400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 3361049276400 in words is "three trillion, three hundred sixty-one billion, forty-nine million, two hundred seventy-six thousand, four hundred".