3669276672 has 288 divisors, whose sum is σ = 11250897840. Its totient is φ = 1194393600.

The previous prime is 3669276671. The next prime is 3669276683. The reversal of 3669276672 is 2766729663.

3669276672 is a `hidden beast` number, since 366 + 9 + 276 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3669276671) 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 23 ways as a sum of consecutive naturals, for example, 36329422 + ... + 36329522.

Almost surely, 2^3669276672 is an apocalyptic number.

3669276672 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 3669276672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5625448920).

3669276672 is an abundant number, since it is smaller than the sum of its proper divisors (7581621168).

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

3669276672 is an equidigital number, since it uses as much as digits as its factorization.

3669276672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 179 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The square root of 3669276672 is about 60574.5546578759. The cubic root of 3669276672 is about 1542.3874633830.

The spelling of 3669276672 in words is "three billion, six hundred sixty-nine million, two hundred seventy-six thousand, six hundred seventy-two".