34921128 has 128 divisors (see below), whose sum is σ = 104509440. Its totient is φ = 9600000.

The previous prime is 34921127. The next prime is 34921129. The reversal of 34921128 is 82112943.

34921128 = T₃₉₇ + T₃₉₈ + ... + T₆₄₇.

It is an interprime number because it is at equal distance from previous prime (34921127) and next prime (34921129).

It is a junction number, because it is equal to n+sod(n) for n = 34921095 and 34921104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34921121) 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 31 ways as a sum of consecutive naturals, for example, 139003 + ... + 139253.

It is an arithmetic number, because the mean of its divisors is an integer number (816480).

Almost surely, 2^34921128 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 34921128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52254720).

34921128 is an abundant number, since it is smaller than the sum of its proper divisors (69588312).

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

34921128 is a wasteful number, since it uses less digits than its factorization.

34921128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 315 counting only the distinct ones).

The product of its digits is 3456, while the sum is 30.

The square root of 34921128 is about 5909.4101228464. The cubic root of 34921128 is about 326.8607361794.

The spelling of 34921128 in words is "thirty-four million, nine hundred twenty-one thousand, one hundred twenty-eight".