3668798016 has 336 divisors, whose sum is σ = 12382804800. Its totient is φ = 1061019648.

The previous prime is 3668798009. The next prime is 3668798047. The reversal of 3668798016 is 6108978663.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4964175 + ... + 4964913.

Almost surely, 2^3668798016 is an apocalyptic number.

3668798016 is a gapful number since it is divisible by the number (36) 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 3668798016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6191402400).

3668798016 is an abundant number, since it is smaller than the sum of its proper divisors (8714006784).

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

3668798016 is a wasteful number, since it uses less digits than its factorization.

3668798016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 803 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3668798016 is about 60570.6035631147. The cubic root of 3668798016 is about 1542.3203924783.

The spelling of 3668798016 in words is "three billion, six hundred sixty-eight million, seven hundred ninety-eight thousand, sixteen".