3735166656 has 112 divisors (see below), whose sum is σ = 10741253600. Its totient is φ = 1138655232.

The previous prime is 3735166639. The next prime is 3735166693. The reversal of 3735166656 is 6566615373.

It is a happy number.

It is a super-3 number, since 3×3735166656³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 265200 + ... + 278928.

It is an arithmetic number, because the mean of its divisors is an integer number (95904050).

Almost surely, 2^3735166656 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 3735166656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370626800).

3735166656 is an abundant number, since it is smaller than the sum of its proper divisors (7006086944).

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

3735166656 is a wasteful number, since it uses less digits than its factorization.

3735166656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13866 (or 13856 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 48.

The square root of 3735166656 is about 61116.0098173956. The cubic root of 3735166656 is about 1551.5650728006.

The spelling of 3735166656 in words is "three billion, seven hundred thirty-five million, one hundred sixty-six thousand, six hundred fifty-six".