3703666656 has 96 divisors (see below), whose sum is σ = 10268294400. Its totient is φ = 1165639680.

The previous prime is 3703666651. The next prime is 3703666661. The reversal of 3703666656 is 6566663073.

It is an interprime number because it is at equal distance from previous prime (3703666651) and next prime (3703666661).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3703666651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 564000 + ... + 570528.

It is an arithmetic number, because the mean of its divisors is an integer number (106961400).

Almost surely, 2^3703666656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3703666656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5134147200).

3703666656 is an abundant number, since it is smaller than the sum of its proper divisors (6564627744).

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

3703666656 is a wasteful number, since it uses less digits than its factorization.

3703666656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6872 (or 6864 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 48.

The square root of 3703666656 is about 60857.7575663120. The cubic root of 3703666656 is about 1547.1911190475.

The spelling of 3703666656 in words is "three billion, seven hundred three million, six hundred sixty-six thousand, six hundred fifty-six".