34788240 has 120 divisors (see below), whose sum is σ = 123027840. Its totient is φ = 8785152.

The previous prime is 34788227. The next prime is 34788241. The reversal of 34788240 is 4288743.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 34788195 and 34788204.

It is not an unprimeable number, because it can be changed into a prime (34788241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12409 + ... + 14951.

It is an arithmetic number, because the mean of its divisors is an integer number (1025232).

Almost surely, 2^34788240 is an apocalyptic number.

34788240 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 34788240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61513920).

34788240 is an abundant number, since it is smaller than the sum of its proper divisors (88239600).

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

34788240 is a wasteful number, since it uses less digits than its factorization.

34788240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581 (or 2572 counting only the distinct ones).

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

The square root of 34788240 is about 5898.1556439280. The cubic root of 34788240 is about 326.4455998864.

The spelling of 34788240 in words is "thirty-four million, seven hundred eighty-eight thousand, two hundred forty".