3420131442432 has 288 divisors, whose sum is σ = 9692397356544. Its totient is φ = 1066942464000.

The previous prime is 3420131442407. The next prime is 3420131442463. The reversal of 3420131442432 is 2342441310243.

It is a junction number, because it is equal to n+sod(n) for n = 3420131442393 and 3420131442402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3254168307 + ... + 3254169357.

It is an arithmetic number, because the mean of its divisors is an integer number (33654157488).

Almost surely, 2^{3420131442432} is an apocalyptic number.

3420131442432 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 3420131442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4846198678272).

3420131442432 is an abundant number, since it is smaller than the sum of its proper divisors (6272265914112).

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

3420131442432 is a wasteful number, since it uses less digits than its factorization.

3420131442432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 3420131442432 its reverse (2342441310243), we get a palindrome (5762572752675).

The spelling of 3420131442432 in words is "three trillion, four hundred twenty billion, one hundred thirty-one million, four hundred forty-two thousand, four hundred thirty-two".