3238365312000 has 2112 divisors, whose sum is σ = 15004209991680. Its totient is φ = 682795008000.

The previous prime is 3238365311977. The next prime is 3238365312103. The reversal of 3238365312000 is 2135638323.

3238365312000 is a `hidden beast` number, since 3 + 23 + 83 + 6 + 531 + 20 + 0 + 0 = 666.

3238365312000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2201471265 + ... + 2201472735.

Almost surely, 2^{3238365312000} is an apocalyptic number.

3238365312000 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 3238365312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7502104995840).

3238365312000 is an abundant number, since it is smaller than the sum of its proper divisors (11765844679680).

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

3238365312000 is a wasteful number, since it uses less digits than its factorization.

3238365312000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 3238365312000 in words is "three trillion, two hundred thirty-eight billion, three hundred sixty-five million, three hundred twelve thousand".