3696967680 has 360 divisors, whose sum is σ = 13806178848. Its totient is φ = 842268672.

The previous prime is 3696967667. The next prime is 3696967717. The reversal of 3696967680 is 867696963.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12042087 + ... + 12042393.

Almost surely, 2^3696967680 is an apocalyptic number.

3696967680 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 3696967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6903089424).

3696967680 is an abundant number, since it is smaller than the sum of its proper divisors (10109211168).

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

3696967680 is an equidigital number, since it uses as much as digits as its factorization.

3696967680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 324 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 60.

The square root of 3696967680 is about 60802.6946771276. The cubic root of 3696967680 is about 1546.2577330832.

The spelling of 3696967680 in words is "three billion, six hundred ninety-six million, nine hundred sixty-seven thousand, six hundred eighty".