3653959920 has 320 divisors, whose sum is σ = 13094161920. Its totient is φ = 835301376.

The previous prime is 3653959909. The next prime is 3653959927. The reversal of 3653959920 is 299593563.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3653959927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3141259 + ... + 3142421.

It is an arithmetic number, because the mean of its divisors is an integer number (40919256).

Almost surely, 2^3653959920 is an apocalyptic number.

3653959920 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 3653959920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6547080960).

3653959920 is an abundant number, since it is smaller than the sum of its proper divisors (9440202000).

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

3653959920 is a wasteful number, since it uses less digits than its factorization.

3653959920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1258 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 51.

The square root of 3653959920 is about 60447.9935150870. The cubic root of 3653959920 is about 1540.2383282129.

The spelling of 3653959920 in words is "three billion, six hundred fifty-three million, nine hundred fifty-nine thousand, nine hundred twenty".