3657921960 has 768 divisors, whose sum is σ = 15306278400. Its totient is φ = 681246720.

The previous prime is 3657921947. The next prime is 3657921991. The reversal of 3657921960 is 691297563.

3657921960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×3657921960³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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, 50108484 + ... + 50108556.

It is an arithmetic number, because the mean of its divisors is an integer number (19930050).

Almost surely, 2^3657921960 is an apocalyptic number.

3657921960 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 3657921960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7653139200).

3657921960 is an abundant number, since it is smaller than the sum of its proper divisors (11648356440).

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

3657921960 is a wasteful number, since it uses less digits than its factorization.

3657921960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 3657921960 is about 60480.7569397077. The cubic root of 3657921960 is about 1540.7948277966.

The spelling of 3657921960 in words is "three billion, six hundred fifty-seven million, nine hundred twenty-one thousand, nine hundred sixty".