3658167125760 has 576 divisors, whose sum is σ = 13742712668160. Its totient is φ = 812047810560.

The previous prime is 3658167125737. The next prime is 3658167125771. The reversal of 3658167125760 is 675217618563.

It is a self number, because there is not a number n which added to its sum of digits gives 3658167125760.

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, 131617465 + ... + 131645255.

It is an arithmetic number, because the mean of its divisors is an integer number (23858876160).

Almost surely, 2^{3658167125760} is an apocalyptic number.

3658167125760 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 3658167125760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6871356334080).

3658167125760 is an abundant number, since it is smaller than the sum of its proper divisors (10084545542400).

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

3658167125760 is a wasteful number, since it uses less digits than its factorization.

3658167125760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27964 (or 27950 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 3658167125760 in words is "three trillion, six hundred fifty-eight billion, one hundred sixty-seven million, one hundred twenty-five thousand, seven hundred sixty".