3644669952 has 480 divisors, whose sum is σ = 13589130240. Its totient is φ = 937820160.

The previous prime is 3644669929. The next prime is 3644669983. The reversal of 3644669952 is 2599664463.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (8398080) is a multiple of the sum of its prime factors (162).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34062283 + ... + 34062389.

It is an arithmetic number, because the mean of its divisors is an integer number (28310688).

Almost surely, 2^3644669952 is an apocalyptic number.

3644669952 is a gapful number since it is divisible by the number (32) 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 3644669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794565120).

3644669952 is an abundant number, since it is smaller than the sum of its proper divisors (9944460288).

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

3644669952 is a wasteful number, since it uses less digits than its factorization.

3644669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 130 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 54.

The square root of 3644669952 is about 60371.1019611204. The cubic root of 3644669952 is about 1538.9319000603.

The spelling of 3644669952 in words is "three billion, six hundred forty-four million, six hundred sixty-nine thousand, nine hundred fifty-two".