33488316 has 72 divisors (see below), whose sum is σ = 88792704. Its totient is φ = 11035440.

The previous prime is 33488311. The next prime is 33488333. The reversal of 33488316 is 61388433.

It is a happy number.

33488316 is a `hidden beast` number, since 334 + 8 + 8 + 316 = 666.

It is a super-2 number, since 2×33488316² = 2242934617031712, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33488311) 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, 127201 + ... + 127463.

It is an arithmetic number, because the mean of its divisors is an integer number (1233232).

Almost surely, 2^33488316 is an apocalyptic number.

33488316 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 33488316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44396352).

33488316 is an abundant number, since it is smaller than the sum of its proper divisors (55304388).

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

33488316 is a wasteful number, since it uses less digits than its factorization.

33488316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 399 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 33488316 is about 5786.9090195026. The cubic root of 33488316 is about 322.3278042342.

It can be divided in two parts, 3348 and 8316, that added together give a square (11664 = 108²).

The spelling of 33488316 in words is "thirty-three million, four hundred eighty-eight thousand, three hundred sixteen".