3646536960 has 288 divisors, whose sum is σ = 12821276160. Its totient is φ = 875929600.

The previous prime is 3646536931. The next prime is 3646536983. The reversal of 3646536960 is 696356463.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 5533111 + ... + 5533769.

It is an arithmetic number, because the mean of its divisors is an integer number (44518320).

Almost surely, 2^3646536960 is an apocalyptic number.

3646536960 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 3646536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6410638080).

3646536960 is an abundant number, since it is smaller than the sum of its proper divisors (9174739200).

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

3646536960 is a wasteful number, since it uses less digits than its factorization.

3646536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The square root of 3646536960 is about 60386.5627437098. The cubic root of 3646536960 is about 1539.1946314591.

The spelling of 3646536960 in words is "three billion, six hundred forty-six million, five hundred thirty-six thousand, nine hundred sixty".