3239961408000 has 960 divisors, whose sum is σ = 11925651209472. Its totient is φ = 845276774400.

The previous prime is 3239961407953. The next prime is 3239961408041. The reversal of 3239961408000 is 8041699323.

It is a happy number.

3239961408000 is a `hidden beast` number, since 3 + 23 + 9 + 9 + 614 + 0 + 8 + 0 + 0 + 0 = 666.

3239961408000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5754815719 + ... + 5754816281.

Almost surely, 2^{3239961408000} is an apocalyptic number.

3239961408000 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 3239961408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5962825604736).

3239961408000 is an abundant number, since it is smaller than the sum of its proper divisors (8685689801472).

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

3239961408000 is a wasteful number, since it uses less digits than its factorization.

3239961408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 802 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 3239961408000 in words is "three trillion, two hundred thirty-nine billion, nine hundred sixty-one million, four hundred eight thousand".