3508146768 has 120 divisors (see below), whose sum is σ = 10593801120. Its totient is φ = 997436160.

The previous prime is 3508146767. The next prime is 3508146769. The reversal of 3508146768 is 8676418053.

It is an interprime number because it is at equal distance from previous prime (3508146767) and next prime (3508146769).

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 (3508146767) by changing a digit.

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, 492738 + ... + 499806.

It is an arithmetic number, because the mean of its divisors is an integer number (88281676).

Almost surely, 2^3508146768 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 3508146768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5296900560).

3508146768 is an abundant number, since it is smaller than the sum of its proper divisors (7085654352).

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

3508146768 is a wasteful number, since it uses less digits than its factorization.

3508146768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7305 (or 7292 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The square root of 3508146768 is about 59229.6105676882. The cubic root of 3508146768 is about 1519.4715914884.

The spelling of 3508146768 in words is "three billion, five hundred eight million, one hundred forty-six thousand, seven hundred sixty-eight".