3645762120 has 768 divisors, whose sum is σ = 16253153280. Its totient is φ = 684288000.

The previous prime is 3645762089. The next prime is 3645762151. The reversal of 3645762120 is 212675463.

3645762120 is a `hidden beast` number, since 3 + 6 + 4 + 5 + 7 + 621 + 20 = 666.

3645762120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3645762089) and next prime (3645762151).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24144045 + ... + 24144195.

It is an arithmetic number, because the mean of its divisors is an integer number (21162960).

Almost surely, 2^3645762120 is an apocalyptic number.

3645762120 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 3645762120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8126576640).

3645762120 is an abundant number, since it is smaller than the sum of its proper divisors (12607391160).

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

3645762120 is a wasteful number, since it uses less digits than its factorization.

3645762120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3645762120 is about 60380.1467371519. The cubic root of 3645762120 is about 1539.0856043589.

The spelling of 3645762120 in words is "three billion, six hundred forty-five million, seven hundred sixty-two thousand, one hundred twenty".