3667783680 has 624 divisors, whose sum is σ = 14597541504. Its totient is φ = 875888640.

The previous prime is 3667783667. The next prime is 3667783681. The reversal of 3667783680 is 863877663.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667783681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54743007 + ... + 54743073.

It is an arithmetic number, because the mean of its divisors is an integer number (23393496).

Almost surely, 2^3667783680 is an apocalyptic number.

3667783680 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 3667783680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7298770752).

3667783680 is an abundant number, since it is smaller than the sum of its proper divisors (10929757824).

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

3667783680 is an equidigital number, since it uses as much as digits as its factorization.

3667783680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The square root of 3667783680 is about 60562.2298136388. The cubic root of 3667783680 is about 1542.1782409899.

The spelling of 3667783680 in words is "three billion, six hundred sixty-seven million, seven hundred eighty-three thousand, six hundred eighty".