3667258800 has 360 divisors, whose sum is σ = 13663344240. Its totient is φ = 943488000.

The previous prime is 3667258787. The next prime is 3667258807. The reversal of 3667258800 is 88527663.

3667258800 is a `hidden beast` number, since 3 + 6 + 67 + 2 + 588 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is not an unprimeable number, because it can be changed into a prime (3667258807) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2818150 + ... + 2819450.

It is an arithmetic number, because the mean of its divisors is an integer number (37953734).

Almost surely, 2^3667258800 is an apocalyptic number.

3667258800 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 3667258800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6831672120).

3667258800 is an abundant number, since it is smaller than the sum of its proper divisors (9996085440).

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

3667258800 is a wasteful number, since it uses less digits than its factorization.

3667258800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1363 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3667258800 is about 60557.8962646491. The cubic root of 3667258800 is about 1542.1046727534.

The spelling of 3667258800 in words is "three billion, six hundred sixty-seven million, two hundred fifty-eight thousand, eight hundred".