3425807636160 has 448 divisors, whose sum is σ = 13429879314432. Its totient is φ = 720492724224.

The previous prime is 3425807636149. The next prime is 3425807636243. The reversal of 3425807636160 is 616367085243.

It is a tau number, because it is divible by the number of its divisors (448).

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, 27281037 + ... + 27406323.

It is an arithmetic number, because the mean of its divisors is an integer number (29977409184).

Almost surely, 2^{3425807636160} is an apocalyptic number.

3425807636160 is a gapful number since it is divisible by the number (30) 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 3425807636160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6714939657216).

3425807636160 is an abundant number, since it is smaller than the sum of its proper divisors (10004071678272).

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

3425807636160 is a wasteful number, since it uses less digits than its factorization.

3425807636160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125640 (or 125630 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 3425807636160 in words is "three trillion, four hundred twenty-five billion, eight hundred seven million, six hundred thirty-six thousand, one hundred sixty".