3612533640 has 128 divisors (see below), whose sum is σ = 11339308800. Its totient is φ = 918973440.

The previous prime is 3612533621. The next prime is 3612533647. The reversal of 3612533640 is 463352163.

3612533640 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 not an unprimeable number, because it can be changed into a prime (3612533647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1160406 + ... + 1163514.

It is an arithmetic number, because the mean of its divisors is an integer number (88588350).

Almost surely, 2^3612533640 is an apocalyptic number.

3612533640 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 3612533640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5669654400).

3612533640 is an abundant number, since it is smaller than the sum of its proper divisors (7726775160).

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

3612533640 is a wasteful number, since it uses less digits than its factorization.

3612533640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3567 (or 3563 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The square root of 3612533640 is about 60104.3562481123. The cubic root of 3612533640 is about 1534.3954428719.

The spelling of 3612533640 in words is "three billion, six hundred twelve million, five hundred thirty-three thousand, six hundred forty".