34827480 has 96 divisors (see below), whose sum is σ = 114566400. Its totient is φ = 9174528.

The previous prime is 34827479. The next prime is 34827503. The reversal of 34827480 is 8472843.

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

It is a congruent number.

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, 31497 + ... + 32583.

It is an arithmetic number, because the mean of its divisors is an integer number (1193400).

Almost surely, 2^34827480 is an apocalyptic number.

34827480 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 34827480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57283200).

34827480 is an abundant number, since it is smaller than the sum of its proper divisors (79738920).

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

34827480 is a wasteful number, since it uses less digits than its factorization.

34827480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1193 (or 1186 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 34827480 is about 5901.4811700115. The cubic root of 34827480 is about 326.5682937626.

The spelling of 34827480 in words is "thirty-four million, eight hundred twenty-seven thousand, four hundred eighty".