3658030421760 has 864 divisors, whose sum is σ = 15149972230848. Its totient is φ = 803116154880.

The previous prime is 3658030421657. The next prime is 3658030421783. The reversal of 3658030421760 is 671240308563.

3658030421760 is a `hidden beast` number, since 3 + 6 + 580 + 3 + 0 + 4 + 2 + 1 + 7 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87289132 + ... + 87331028.

It is an arithmetic number, because the mean of its divisors is an integer number (17534690082).

Almost surely, 2^{3658030421760} is an apocalyptic number.

3658030421760 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 3658030421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7574986115424).

3658030421760 is an abundant number, since it is smaller than the sum of its proper divisors (11491941809088).

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

3658030421760 is a wasteful number, since it uses less digits than its factorization.

3658030421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42001 (or 41984 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3658030421760 in words is "three trillion, six hundred fifty-eight billion, thirty million, four hundred twenty-one thousand, seven hundred sixty".