34248816 has 120 divisors (see below), whose sum is σ = 111537504. Its totient is φ = 9607680.

The previous prime is 34248779. The next prime is 34248821. The reversal of 34248816 is 61884243.

34248816 = 1019² + 1020² + ... + 1050².

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a nude number because it is divisible by every one of its digits.

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, 61210 + ... + 61766.

Almost surely, 2^34248816 is an apocalyptic number.

34248816 is a gapful number since it is divisible by the number (36) 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 34248816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55768752).

34248816 is an abundant number, since it is smaller than the sum of its proper divisors (77288688).

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

34248816 is a wasteful number, since it uses less digits than its factorization.

34248816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639 (or 630 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 34248816 is about 5852.2487985389. The cubic root of 34248816 is about 324.7495221935.

The spelling of 34248816 in words is "thirty-four million, two hundred forty-eight thousand, eight hundred sixteen".