34111020 has 48 divisors (see below), whose sum is σ = 96511968. Its totient is φ = 9000960.

The previous prime is 34110991. The next prime is 34111031. The reversal of 34111020 is 2011143.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 34110987 and 34111005.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2890 + ... + 8750.

It is an arithmetic number, because the mean of its divisors is an integer number (2010666).

Almost surely, 2^34111020 is an apocalyptic number.

34111020 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 34111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48255984).

34111020 is an abundant number, since it is smaller than the sum of its proper divisors (62400948).

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

34111020 is a wasteful number, since it uses less digits than its factorization.

34111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5970 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 34111020 is about 5840.4640226612. The cubic root of 34111020 is about 324.3134065431.

Adding to 34111020 its reverse (2011143), we get a palindrome (36122163).

The spelling of 34111020 in words is "thirty-four million, one hundred eleven thousand, twenty".