3402101430432 has 144 divisors (see below), whose sum is σ = 9809532008640. Its totient is φ = 1118239589376.

The previous prime is 3402101430349. The next prime is 3402101430439. The reversal of 3402101430432 is 2340341012043.

3402101430432 is a `hidden beast` number, since 3 + 4 + 0 + 210 + 14 + 3 + 0 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 3402101430396 and 3402101430405.

It is not an unprimeable number, because it can be changed into a prime (3402101430439) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104409919 + ... + 104442497.

It is an arithmetic number, because the mean of its divisors is an integer number (68121750060).

Almost surely, 2^{3402101430432} is an apocalyptic number.

3402101430432 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 3402101430432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4904766004320).

3402101430432 is an abundant number, since it is smaller than the sum of its proper divisors (6407430578208).

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

3402101430432 is a wasteful number, since it uses less digits than its factorization.

3402101430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37635 (or 37624 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3402101430432 its reverse (2340341012043), we get a palindrome (5742442442475).

The spelling of 3402101430432 in words is "three trillion, four hundred two billion, one hundred one million, four hundred thirty thousand, four hundred thirty-two".