3646305504 has 192 divisors, whose sum is σ = 11243232000. Its totient is φ = 1146493440.

The previous prime is 3646305499. The next prime is 3646305511. The reversal of 3646305504 is 4055036463.

3646305504 is a `hidden beast` number, since 3 + 646 + 3 + 0 + 5 + 5 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6385539 + ... + 6386109.

It is an arithmetic number, because the mean of its divisors is an integer number (58558500).

Almost surely, 2^3646305504 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 3646305504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5621616000).

3646305504 is an abundant number, since it is smaller than the sum of its proper divisors (7596926496).

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

3646305504 is a wasteful number, since it uses less digits than its factorization.

3646305504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 998 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3646305504 is about 60384.6462604527. The cubic root of 3646305504 is about 1539.1620650932.

The spelling of 3646305504 in words is "three billion, six hundred forty-six million, three hundred five thousand, five hundred four".