3652301664 has 336 divisors, whose sum is σ = 12070707264. Its totient is φ = 1077753600.

The previous prime is 3652301651. The next prime is 3652301669. The reversal of 3652301664 is 4661032563.

3652301664 is a `hidden beast` number, since 365 + 230 + 1 + 6 + 64 = 666.

3652301664 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 a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3652301669) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 11033979 + ... + 11034309.

It is an arithmetic number, because the mean of its divisors is an integer number (35924724).

Almost surely, 2^3652301664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3652301664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035353632).

3652301664 is an abundant number, since it is smaller than the sum of its proper divisors (8418405600).

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

3652301664 is a wasteful number, since it uses less digits than its factorization.

3652301664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3652301664 is about 60434.2755727245. The cubic root of 3652301664 is about 1540.0052937357.

The spelling of 3652301664 in words is "three billion, six hundred fifty-two million, three hundred one thousand, six hundred sixty-four".