3508087968 has 648 divisors, whose sum is σ = 13570187904. Its totient is φ = 881798400.

The previous prime is 3508087951. The next prime is 3508087997. The reversal of 3508087968 is 8697808053.

It is a happy number.

3508087968 is a `hidden beast` number, since 3 + 508 + 0 + 8 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

It is a Smith number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 113164113 + ... + 113164143.

It is an arithmetic number, because the mean of its divisors is an integer number (20941648).

Almost surely, 2^3508087968 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 3508087968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6785093952).

3508087968 is an abundant number, since it is smaller than the sum of its proper divisors (10062099936).

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

3508087968 is an equidigital number, since it uses as much as digits as its factorization.

3508087968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 3508087968 is about 59229.1141922619. The cubic root of 3508087968 is about 1519.4631021601.

The spelling of 3508087968 in words is "three billion, five hundred eight million, eighty-seven thousand, nine hundred sixty-eight".