3658042708320 has 1152 divisors, whose sum is σ = 15787548241920. Its totient is φ = 692681932800.

The previous prime is 3658042708319. The next prime is 3658042708361. The reversal of 3658042708320 is 238072408563.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3658042708320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 417532740 + ... + 417541500.

It is an arithmetic number, because the mean of its divisors is an integer number (13704468960).

Almost surely, 2^{3658042708320} is an apocalyptic number.

3658042708320 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 3658042708320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7893774120960).

3658042708320 is an abundant number, since it is smaller than the sum of its proper divisors (12129505533600).

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

3658042708320 is a wasteful number, since it uses less digits than its factorization.

3658042708320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8900 (or 8881 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 3658042708320 in words is "three trillion, six hundred fifty-eight billion, forty-two million, seven hundred eight thousand, three hundred twenty".