3644930016 has 672 divisors, whose sum is σ = 14159613888. Its totient is φ = 895795200.

The previous prime is 3644929993. The next prime is 3644930017. The reversal of 3644930016 is 6100394463.

3644930016 is a `hidden beast` number, since 3 + 644 + 9 + 3 + 0 + 0 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 (3644930017) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 36088366 + ... + 36088466.

It is an arithmetic number, because the mean of its divisors is an integer number (21070854).

Almost surely, 2^3644930016 is an apocalyptic number.

3644930016 is a gapful number since it is divisible by the number (36) 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 3644930016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7079806944).

3644930016 is an abundant number, since it is smaller than the sum of its proper divisors (10514683872).

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

3644930016 is a wasteful number, since it uses less digits than its factorization.

3644930016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 3644930016 is about 60373.2558008925. The cubic root of 3644930016 is about 1538.9685024845.

The spelling of 3644930016 in words is "three billion, six hundred forty-four million, nine hundred thirty thousand, sixteen".