3668790720 has 336 divisors, whose sum is σ = 14143500288. Its totient is φ = 801884160.

The previous prime is 3668790701. The next prime is 3668790721. The reversal of 3668790720 is 270978663.

3668790720 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (336).

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 3668790720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668790721) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1080225 + ... + 1083615.

Almost surely, 2^3668790720 is an apocalyptic number.

3668790720 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 3668790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7071750144).

3668790720 is an abundant number, since it is smaller than the sum of its proper divisors (10474709568).

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

3668790720 is a wasteful number, since it uses less digits than its factorization.

3668790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3448 (or 3431 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 3668790720 is about 60570.5433358493. The cubic root of 3668790720 is about 1542.3193700928.

The spelling of 3668790720 in words is "three billion, six hundred sixty-eight million, seven hundred ninety thousand, seven hundred twenty".