3668232960 has 576 divisors, whose sum is σ = 15187737600. Its totient is φ = 821035008.

The previous prime is 3668232959. The next prime is 3668232961. The reversal of 3668232960 is 692328663.

It is an interprime number because it is at equal distance from previous prime (3668232959) and next prime (3668232961).

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3668232961) 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 63 ways as a sum of consecutive naturals, for example, 14273152 + ... + 14273408.

It is an arithmetic number, because the mean of its divisors is an integer number (26367600).

Almost surely, 2^3668232960 is an apocalyptic number.

3668232960 is a gapful number since it is divisible by the number (30) 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 3668232960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7593868800).

3668232960 is an abundant number, since it is smaller than the sum of its proper divisors (11519504640).

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

3668232960 is a wasteful number, since it uses less digits than its factorization.

3668232960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353 (or 333 counting only the distinct ones).

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

The square root of 3668232960 is about 60565.9389426103. The cubic root of 3668232960 is about 1542.2412074033.

The spelling of 3668232960 in words is "three billion, six hundred sixty-eight million, two hundred thirty-two thousand, nine hundred sixty".