33485760 has 336 divisors, whose sum is σ = 144548352. Its totient is φ = 6912000.

The previous prime is 33485741. The next prime is 33485773. The reversal of 33485760 is 6758433.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×33485760² = 2242592245555200, 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 47 ways as a sum of consecutive naturals, for example, 221685 + ... + 221835.

Almost surely, 2^33485760 is an apocalyptic number.

33485760 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 33485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72274176).

33485760 is an abundant number, since it is smaller than the sum of its proper divisors (111062592).

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

33485760 is a wasteful number, since it uses less digits than its factorization.

33485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 33485760 is about 5786.6881720030. The cubic root of 33485760 is about 322.3196034552.

The spelling of 33485760 in words is "thirty-three million, four hundred eighty-five thousand, seven hundred sixty".