34203840 has 224 divisors, whose sum is σ = 122895360. Its totient is φ = 7987200.

The previous prime is 34203839. The next prime is 34203853. The reversal of 34203840 is 4830243.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 34203840.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432921 + ... + 432999.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 2^34203840 is an apocalyptic number.

34203840 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 34203840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61447680).

34203840 is an abundant number, since it is smaller than the sum of its proper divisors (88691520).

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

34203840 is a wasteful number, since it uses less digits than its factorization.

34203840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 34203840 is about 5848.4049107428. The cubic root of 34203840 is about 324.6073047930.

It can be divided in two parts, 3420 and 3840, that added together give a triangular number (7260 = T₁₂₀).

The spelling of 34203840 in words is "thirty-four million, two hundred three thousand, eight hundred forty".