3380254416000 has 2304 divisors, whose sum is σ = 15985484161920. Its totient is φ = 701955072000.

The previous prime is 3380254415963. The next prime is 3380254416001. The reversal of 3380254416000 is 6144520833.

3380254416000 is a `hidden beast` number, since 3 + 3 + 8 + 0 + 2 + 5 + 4 + 41 + 600 + 0 = 666.

It is a super-2 number, since 2×3380254416000² (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 not an unprimeable number, because it can be changed into a prime (3380254416001) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 2095631194 + ... + 2095632806.

Almost surely, 2^{3380254416000} is an apocalyptic number.

3380254416000 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 3380254416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7992742080960).

3380254416000 is an abundant number, since it is smaller than the sum of its proper divisors (12605229745920).

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

3380254416000 is a wasteful number, since it uses less digits than its factorization.

3380254416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1682 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Adding to 3380254416000 its reverse (6144520833), we get a palindrome (3386398936833).

The spelling of 3380254416000 in words is "three trillion, three hundred eighty billion, two hundred fifty-four million, four hundred sixteen thousand".