3669801984 has 352 divisors, whose sum is σ = 11790720000. Its totient is φ = 1124057088.

The previous prime is 3669801983. The next prime is 3669802021. The reversal of 3669801984 is 4891089663.

3669801984 is a `hidden beast` number, since 366 + 98 + 0 + 198 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3669801984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669801983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18441117 + ... + 18441315.

Almost surely, 2^3669801984 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 3669801984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5895360000).

3669801984 is an abundant number, since it is smaller than the sum of its proper divisors (8120918016).

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

3669801984 is a wasteful number, since it uses less digits than its factorization.

3669801984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 3669801984 is about 60578.8905807956. The cubic root of 3669801984 is about 1542.4610651719.

The spelling of 3669801984 in words is "three billion, six hundred sixty-nine million, eight hundred one thousand, nine hundred eighty-four".