3232738425600 has 864 divisors, whose sum is σ = 12213583350080. Its totient is φ = 836075520000.

The previous prime is 3232738425599. The next prime is 3232738425617. The reversal of 3232738425600 is 65248372323.

3232738425600 is a `hidden beast` number, since 3 + 2 + 3 + 2 + 7 + 3 + 84 + 2 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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, 2691705000 + ... + 2691706200.

Almost surely, 2^{3232738425600} is an apocalyptic number.

3232738425600 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 3232738425600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6106791675040).

3232738425600 is an abundant number, since it is smaller than the sum of its proper divisors (8980844924480).

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

3232738425600 is a wasteful number, since it uses less digits than its factorization.

3232738425600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1669 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3232738425600 in words is "three trillion, two hundred thirty-two billion, seven hundred thirty-eight million, four hundred twenty-five thousand, six hundred".