34788460 has 96 divisors (see below), whose sum is σ = 90574848. Its totient is φ = 10951680.

The previous prime is 34788451. The next prime is 34788461. The reversal of 34788460 is 6488743.

34788460 = T₃₄₉ + T₃₅₀ + ... + T₆₃₀.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (34788461) 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, 111705 + ... + 112015.

It is an arithmetic number, because the mean of its divisors is an integer number (943488).

Almost surely, 2^34788460 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 34788460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45287424).

34788460 is an abundant number, since it is smaller than the sum of its proper divisors (55786388).

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

34788460 is a wasteful number, since it uses less digits than its factorization.

34788460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 34788460 is about 5898.1742937963. The cubic root of 34788460 is about 326.4462880296.

The spelling of 34788460 in words is "thirty-four million, seven hundred eighty-eight thousand, four hundred sixty".