3234231504000 has 2560 divisors, whose sum is σ = 14799641725440. Its totient is φ = 683193139200.

The previous prime is 3234231503981. The next prime is 3234231504029. The reversal of 3234231504000 is 4051324323.

3234231504000 is a `hidden beast` number, since 3 + 2 + 342 + 315 + 0 + 4 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3234231504000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 10333007844 + ... + 10333008156.

It is an arithmetic number, because the mean of its divisors is an integer number (5781110049).

Almost surely, 2^{3234231504000} is an apocalyptic number.

3234231504000 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 3234231504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7399820862720).

3234231504000 is an abundant number, since it is smaller than the sum of its proper divisors (11565410221440).

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

3234231504000 is a wasteful number, since it uses less digits than its factorization.

3234231504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 3234231504000 its reverse (4051324323), we get a palindrome (3238282828323).

The spelling of 3234231504000 in words is "three trillion, two hundred thirty-four billion, two hundred thirty-one million, five hundred four thousand".