33484860 has 96 divisors (see below), whose sum is σ = 106041600. Its totient is φ = 8769600.

The previous prime is 33484853. The next prime is 33484877. The reversal of 33484860 is 6848433.

It is a super-2 number, since 2×33484860² = 2242471698439200, 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 an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31335 + ... + 32385.

It is an arithmetic number, because the mean of its divisors is an integer number (1104600).

Almost surely, 2^33484860 is an apocalyptic number.

33484860 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 33484860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53020800).

33484860 is an abundant number, since it is smaller than the sum of its proper divisors (72556740).

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

33484860 is a wasteful number, since it uses less digits than its factorization.

33484860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 33484860 is about 5786.6104067926. The cubic root of 33484860 is about 322.3167157577.

The spelling of 33484860 in words is "thirty-three million, four hundred eighty-four thousand, eight hundred sixty".