3036465868800 has 1872 divisors, whose sum is σ = 12838570778880. Its totient is φ = 627407585280.

The previous prime is 3036465868789. The next prime is 3036465868883. The reversal of 3036465868800 is 88685646303.

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 143 ways as a sum of consecutive naturals, for example, 11545497469 + ... + 11545497731.

Almost surely, 2^{3036465868800} is an apocalyptic number.

3036465868800 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 3036465868800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6419285389440).

3036465868800 is an abundant number, since it is smaller than the sum of its proper divisors (9802104910080).

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

3036465868800 is a wasteful number, since it uses less digits than its factorization.

3036465868800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 57.

The spelling of 3036465868800 in words is "three trillion, thirty-six billion, four hundred sixty-five million, eight hundred sixty-eight thousand, eight hundred".