3669628032 has 384 divisors, whose sum is σ = 12697776000. Its totient is φ = 1016064000.

The previous prime is 3669627979. The next prime is 3669628037. The reversal of 3669628032 is 2308269663.

3669628032 is a `hidden beast` number, since 366 + 9 + 6 + 280 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (3669628037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14619907 + ... + 14620157.

It is an arithmetic number, because the mean of its divisors is an integer number (33067125).

Almost surely, 2^3669628032 is an apocalyptic number.

3669628032 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 3669628032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6348888000).

3669628032 is an abundant number, since it is smaller than the sum of its proper divisors (9028147968).

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

3669628032 is a wasteful number, since it uses less digits than its factorization.

3669628032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 3669628032 is about 60577.4548161278. The cubic root of 3669628032 is about 1542.4366934276.

The spelling of 3669628032 in words is "three billion, six hundred sixty-nine million, six hundred twenty-eight thousand, thirty-two".