3234501410140 has 288 divisors, whose sum is σ = 9344329440768. Its totient is φ = 924436800000.

The previous prime is 3234501410117. The next prime is 3234501410167. The reversal of 3234501410140 is 410141054323.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 3234501410099 and 3234501410108.

It is a congruent number.

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, 21084715 + ... + 21237565.

It is an arithmetic number, because the mean of its divisors is an integer number (32445588336).

Almost surely, 2^{3234501410140} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3234501410140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672164720384).

3234501410140 is an abundant number, since it is smaller than the sum of its proper divisors (6109828030628).

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

3234501410140 is a wasteful number, since it uses less digits than its factorization.

3234501410140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153049 (or 153040 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 3234501410140 its reverse (410141054323), we get a palindrome (3644642464463).

The spelling of 3234501410140 in words is "three trillion, two hundred thirty-four billion, five hundred one million, four hundred ten thousand, one hundred forty".