34628880 has 160 divisors (see below), whose sum is σ = 126241920. Its totient is φ = 7741440.

The previous prime is 34628879. The next prime is 34628897. The reversal of 34628880 is 8882643.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33816 + ... + 34824.

It is an arithmetic number, because the mean of its divisors is an integer number (789012).

Almost surely, 2^34628880 is an apocalyptic number.

34628880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34628880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63120960).

34628880 is an abundant number, since it is smaller than the sum of its proper divisors (91613040).

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

34628880 is a wasteful number, since it uses less digits than its factorization.

34628880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1049 (or 1043 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 34628880 is about 5884.6308295423. The cubic root of 34628880 is about 325.9463697895.

The spelling of 34628880 in words is "thirty-four million, six hundred twenty-eight thousand, eight hundred eighty".