34628890164 has 48 divisors (see below), whose sum is σ = 89591307456. Its totient is φ = 10321574400.

The previous prime is 34628890141. The next prime is 34628890171. The reversal of 34628890164 is 46109882643.

It is a super-3 number, since 3×34628890164³ (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2142277 + ... + 2158380.

It is an arithmetic number, because the mean of its divisors is an integer number (1866485572).

Almost surely, 2^34628890164 is an apocalyptic number.

It is an amenable number.

34628890164 is an abundant number, since it is smaller than the sum of its proper divisors (54962417292).

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

34628890164 is a wasteful number, since it uses less digits than its factorization.

34628890164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4300736 (or 4300734 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 34628890164 in words is "thirty-four billion, six hundred twenty-eight million, eight hundred ninety thousand, one hundred sixty-four".