3401031310432 has 96 divisors (see below), whose sum is σ = 7738194207744. Its totient is φ = 1441307212800.

The previous prime is 3401031310409. The next prime is 3401031310459. The reversal of 3401031310432 is 2340131301043.

3401031310432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3401031310397 and 3401031310406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8039433 + ... + 8451895.

It is an arithmetic number, because the mean of its divisors is an integer number (80606189664).

Almost surely, 2^{3401031310432} is an apocalyptic number.

3401031310432 is a gapful number since it is divisible by the number (32) 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 3401031310432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3869097103872).

3401031310432 is an abundant number, since it is smaller than the sum of its proper divisors (4337162897312).

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

3401031310432 is a wasteful number, since it uses less digits than its factorization.

3401031310432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412892 (or 412884 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

Adding to 3401031310432 its reverse (2340131301043), we get a palindrome (5741162611475).

The spelling of 3401031310432 in words is "three trillion, four hundred one billion, thirty-one million, three hundred ten thousand, four hundred thirty-two".