3679344000 has 640 divisors, whose sum is σ = 14555661120. Its totient is φ = 917913600.

The previous prime is 3679343917. The next prime is 3679344001. The reversal of 3679344000 is 4439763.

It is a tau number, because it is divible by the number of its divisors (640).

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 (3679344001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22031917 + ... + 22032083.

Almost surely, 2^3679344000 is an apocalyptic number.

3679344000 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 3679344000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7277830560).

3679344000 is an abundant number, since it is smaller than the sum of its proper divisors (10876317120).

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

3679344000 is a wasteful number, since it uses less digits than its factorization.

3679344000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3679344000 is about 60657.5963915485. The cubic root of 3679344000 is about 1543.7967821170.

The spelling of 3679344000 in words is "three billion, six hundred seventy-nine million, three hundred forty-four thousand".