3652753680 has 240 divisors, whose sum is σ = 12664903680. Its totient is φ = 942907392.

The previous prime is 3652753639. The next prime is 3652753681. The reversal of 3652753680 is 863572563.

3652753680 is a `hidden beast` number, since 36 + 5 + 2 + 7 + 536 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3652753681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3931456 + ... + 3932384.

It is an arithmetic number, because the mean of its divisors is an integer number (52770432).

Almost surely, 2^3652753680 is an apocalyptic number.

3652753680 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 3652753680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6332451840).

3652753680 is an abundant number, since it is smaller than the sum of its proper divisors (9012150000).

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

3652753680 is a wasteful number, since it uses less digits than its factorization.

3652753680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1118 (or 1109 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 3652753680 is about 60438.0151891175. The cubic root of 3652753680 is about 1540.0688224710.

The spelling of 3652753680 in words is "three billion, six hundred fifty-two million, seven hundred fifty-three thousand, six hundred eighty".