3658798080 has 704 divisors, whose sum is σ = 15720960000. Its totient is φ = 788299776.

The previous prime is 3658798067. The next prime is 3658798081. The reversal of 3658798080 is 808978563.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3658798081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18385821 + ... + 18386019.

Almost surely, 2^3658798080 is an apocalyptic number.

3658798080 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 3658798080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7860480000).

3658798080 is an abundant number, since it is smaller than the sum of its proper divisors (12062161920).

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

3658798080 is a wasteful number, since it uses less digits than its factorization.

3658798080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3658798080 is about 60487.9994709694. Note that the first 3 decimals coincide. The cubic root of 3658798080 is about 1540.9178314600.

The spelling of 3658798080 in words is "three billion, six hundred fifty-eight million, seven hundred ninety-eight thousand, eighty".