3428061486432 has 384 divisors, whose sum is σ = 10329053478912. Its totient is φ = 985374720000.

The previous prime is 3428061486379. The next prime is 3428061486449. The reversal of 3428061486432 is 2346841608243.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2973166368 + ... + 2973167520.

It is an arithmetic number, because the mean of its divisors is an integer number (26898576768).

Almost surely, 2^{3428061486432} is an apocalyptic number.

3428061486432 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 3428061486432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5164526739456).

3428061486432 is an abundant number, since it is smaller than the sum of its proper divisors (6900991992480).

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

3428061486432 is a wasteful number, since it uses less digits than its factorization.

3428061486432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2114 (or 2106 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 3428061486432 in words is "three trillion, four hundred twenty-eight billion, sixty-one million, four hundred eighty-six thousand, four hundred thirty-two".