3658125801312 has 144 divisors (see below), whose sum is σ = 10573773210000. Its totient is φ = 1199494904832.

The previous prime is 3658125801259. The next prime is 3658125801349. The reversal of 3658125801312 is 2131085218563.

3658125801312 is a `hidden beast` number, since 3 + 6 + 5 + 81 + 258 + 0 + 1 + 312 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3944314 + ... + 4782662.

It is an arithmetic number, because the mean of its divisors is an integer number (73428980625).

Almost surely, 2^{3658125801312} is an apocalyptic number.

3658125801312 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 3658125801312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5286886605000).

3658125801312 is an abundant number, since it is smaller than the sum of its proper divisors (6915647408688).

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

3658125801312 is a wasteful number, since it uses less digits than its factorization.

3658125801312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838613 (or 838602 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 3658125801312 in words is "three trillion, six hundred fifty-eight billion, one hundred twenty-five million, eight hundred one thousand, three hundred twelve".