3456825142896 has 200 divisors, whose sum is σ = 10052304239824. Its totient is φ = 1151578321920.

The previous prime is 3456825142853. The next prime is 3456825142907. The reversal of 3456825142896 is 6982415286543.

3456825142896 is a `hidden beast` number, since 3 + 4 + 5 + 6 + 8 + 2 + 514 + 28 + 96 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 982888530 + ... + 982892046.

Almost surely, 2^{3456825142896} is an apocalyptic number.

3456825142896 is a gapful number since it is divisible by the number (36) 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 3456825142896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5026152119912).

3456825142896 is an abundant number, since it is smaller than the sum of its proper divisors (6595479096928).

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

3456825142896 is an frugal number, since it uses more digits than its factorization.

3456825142896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6673 (or 6643 counting only the distinct ones).

The product of its digits is 99532800, while the sum is 63.

The spelling of 3456825142896 in words is "three trillion, four hundred fifty-six billion, eight hundred twenty-five million, one hundred forty-two thousand, eight hundred ninety-six".