3658831381260 has 384 divisors, whose sum is σ = 12472905553920. Its totient is φ = 883066060800.

The previous prime is 3658831381201. The next prime is 3658831381277. The reversal of 3658831381260 is 621831388563.

3658831381260 is a `hidden beast` number, since 3 + 6 + 588 + 3 + 1 + 38 + 1 + 26 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3658831381197 and 3658831381206.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1998268545 + ... + 1998270375.

It is an arithmetic number, because the mean of its divisors is an integer number (32481524880).

Almost surely, 2^{3658831381260} is an apocalyptic number.

3658831381260 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 3658831381260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6236452776960).

3658831381260 is an abundant number, since it is smaller than the sum of its proper divisors (8814074172660).

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

3658831381260 is a wasteful number, since it uses less digits than its factorization.

3658831381260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3166 (or 3158 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3658831381260 in words is "three trillion, six hundred fifty-eight billion, eight hundred thirty-one million, three hundred eighty-one thousand, two hundred sixty".