3735683275968 has 1008 divisors, whose sum is σ = 13205359245312. Its totient is φ = 988136755200.

The previous prime is 3735683275967. The next prime is 3735683275979. The reversal of 3735683275968 is 8695723865373.

3735683275968 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 6 + 8 + 3 + 27 + 596 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3735683275896 and 3735683275905.

It is not an unprimeable number, because it can be changed into a prime (3735683275967) 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 143 ways as a sum of consecutive naturals, for example, 10178973321 + ... + 10178973687.

Almost surely, 2^{3735683275968} 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 3735683275968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6602679622656).

3735683275968 is an abundant number, since it is smaller than the sum of its proper divisors (9469675969344).

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

3735683275968 is a wasteful number, since it uses less digits than its factorization.

3735683275968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 518 counting only the distinct ones).

The product of its digits is 1371686400, while the sum is 72.

The spelling of 3735683275968 in words is "three trillion, seven hundred thirty-five billion, six hundred eighty-three million, two hundred seventy-five thousand, nine hundred sixty-eight".