3671679600 has 180 divisors, whose sum is σ = 12800727576. Its totient is φ = 974584320.

The previous prime is 3671679581. The next prime is 3671679607. The reversal of 3671679600 is 69761763.

3671679600 is a `hidden beast` number, since 36 + 7 + 1 + 6 + 7 + 9 + 600 = 666.

3671679600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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 (3671679607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 814954 + ... + 819446.

Almost surely, 2^3671679600 is an apocalyptic number.

3671679600 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 3671679600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6400363788).

3671679600 is an abundant number, since it is smaller than the sum of its proper divisors (9129047976).

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

3671679600 is a wasteful number, since it uses less digits than its factorization.

3671679600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4744 (or 4730 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

The square root of 3671679600 is about 60594.3858785614. The cubic root of 3671679600 is about 1542.7240817052.

The spelling of 3671679600 in words is "three billion, six hundred seventy-one million, six hundred seventy-nine thousand, six hundred".