34628159664 has 150 divisors (see below), whose sum is σ = 116587246644. Its totient is φ = 9893741760.

The previous prime is 34628159647. The next prime is 34628159681. The reversal of 34628159664 is 46695182643.

34628159664 is a `hidden beast` number, since 3 + 4 + 628 + 1 + 5 + 9 + 6 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (34628159647) and next prime (34628159681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 34628159664.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 209142 + ... + 336149.

Almost surely, 2^34628159664 is an apocalyptic number.

It is an amenable number.

34628159664 is an abundant number, since it is smaller than the sum of its proper divisors (81959086980).

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

34628159664 is a wasteful number, since it uses less digits than its factorization.

34628159664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545325 (or 545303 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 54.

The spelling of 34628159664 in words is "thirty-four billion, six hundred twenty-eight million, one hundred fifty-nine thousand, six hundred sixty-four".