3612658920 has 256 divisors, whose sum is σ = 11967782400. Its totient is φ = 872202240.

The previous prime is 3612658909. The next prime is 3612658927. The reversal of 3612658920 is 298562163.

It is not an unprimeable number, because it can be changed into a prime (3612658927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18718344 + ... + 18718536.

It is an arithmetic number, because the mean of its divisors is an integer number (46749150).

Almost surely, 2^3612658920 is an apocalyptic number.

3612658920 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 3612658920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5983891200).

3612658920 is an abundant number, since it is smaller than the sum of its proper divisors (8355123480).

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

3612658920 is a wasteful number, since it uses less digits than its factorization.

3612658920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 3612658920 is about 60105.3984264309. The cubic root of 3612658920 is about 1534.4131799007.

The spelling of 3612658920 in words is "three billion, six hundred twelve million, six hundred fifty-eight thousand, nine hundred twenty".