3235456224000 has 5760 divisors, whose sum is σ = 17112129914880. Its totient is φ = 585252864000.

The previous prime is 3235456223963. The next prime is 3235456224017. The reversal of 3235456224000 is 4226545323.

3235456224000 is a `hidden beast` number, since 3 + 2 + 3 + 54 + 562 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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 639 ways as a sum of consecutive naturals, for example, 75243167979 + ... + 75243168021.

It is an arithmetic number, because the mean of its divisors is an integer number (2970855888).

Almost surely, 2^{3235456224000} is an apocalyptic number.

3235456224000 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 3235456224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8556064957440).

3235456224000 is an abundant number, since it is smaller than the sum of its proper divisors (13876673690880).

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

3235456224000 is a wasteful number, since it uses less digits than its factorization.

3235456224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

The spelling of 3235456224000 in words is "three trillion, two hundred thirty-five billion, four hundred fifty-six million, two hundred twenty-four thousand".