34148880 has 120 divisors (see below), whose sum is σ = 117456768. Its totient is φ = 8886528.

The previous prime is 34148861. The next prime is 34148893. The reversal of 34148880 is 8884143.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×34148880² = 2332292010508800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30409 + ... + 31511.

Almost surely, 2^34148880 is an apocalyptic number.

34148880 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 34148880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58728384).

34148880 is an abundant number, since it is smaller than the sum of its proper divisors (83307888).

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

34148880 is a wasteful number, since it uses less digits than its factorization.

34148880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 34148880 is about 5843.7043046342. The cubic root of 34148880 is about 324.4333478965.

The spelling of 34148880 in words is "thirty-four million, one hundred forty-eight thousand, eight hundred eighty".