3396144760800 has 1152 divisors, whose sum is σ = 12729361268736. Its totient is φ = 778982400000.

The previous prime is 3396144760777. The next prime is 3396144760823. The reversal of 3396144760800 is 80674416933.

It is an interprime number because it is at equal distance from previous prime (3396144760777) and next prime (3396144760823).

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 12260450262 + ... + 12260450538.

It is an arithmetic number, because the mean of its divisors is an integer number (11049792768).

Almost surely, 2^{3396144760800} is an apocalyptic number.

3396144760800 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 3396144760800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6364680634368).

3396144760800 is an abundant number, since it is smaller than the sum of its proper divisors (9333216507936).

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

3396144760800 is a wasteful number, since it uses less digits than its factorization.

3396144760800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 3396144760800 in words is "three trillion, three hundred ninety-six billion, one hundred forty-four million, seven hundred sixty thousand, eight hundred".