3231429552000 has 1792 divisors, whose sum is σ = 13162822021440. Its totient is φ = 783820800000.

The previous prime is 3231429551971. The next prime is 3231429552017. The reversal of 3231429552000 is 2559241323.

3231429552000 is a `hidden beast` number, since 3 + 2 + 3 + 1 + 42 + 95 + 520 + 0 + 0 = 666.

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 223 ways as a sum of consecutive naturals, for example, 15314831895 + ... + 15314832105.

Almost surely, 2^{3231429552000} is an apocalyptic number.

3231429552000 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 3231429552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6581411010720).

3231429552000 is an abundant number, since it is smaller than the sum of its proper divisors (9931392469440).

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

3231429552000 is a wasteful number, since it uses less digits than its factorization.

3231429552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 3231429552000 in words is "three trillion, two hundred thirty-one billion, four hundred twenty-nine million, five hundred fifty-two thousand".