33988050 has 72 divisors (see below), whose sum is σ = 93315456. Its totient is φ = 8865120.

The previous prime is 33988039. The next prime is 33988051. The reversal of 33988050 is 5088933.

It is a junction number, because it is equal to n+sod(n) for n = 33987996 and 33988014.

It is not an unprimeable number, because it can be changed into a prime (33988051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20347 + ... + 21953.

It is an arithmetic number, because the mean of its divisors is an integer number (1296048).

Almost surely, 2^33988050 is an apocalyptic number.

33988050 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 33988050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46657728).

33988050 is an abundant number, since it is smaller than the sum of its proper divisors (59327406).

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

33988050 is a wasteful number, since it uses less digits than its factorization.

33988050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1672 (or 1664 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 33988050 is about 5829.9271007449. The cubic root of 33988050 is about 323.9232214048.

The spelling of 33988050 in words is "thirty-three million, nine hundred eighty-eight thousand, fifty".