33738960 has 80 divisors (see below), whose sum is σ = 105189696. Its totient is φ = 8945664.

The previous prime is 33738923. The next prime is 33738967. The reversal of 33738960 is 6983733.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×33738960² = 2276634843763200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33738967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61407 + ... + 61953.

Almost surely, 2^33738960 is an apocalyptic number.

33738960 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 33738960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52594848).

33738960 is an abundant number, since it is smaller than the sum of its proper divisors (71450736).

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

33738960 is a wasteful number, since it uses less digits than its factorization.

33738960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 814 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 33738960 is about 5808.5247696812. The cubic root of 33738960 is about 323.1299626857.

The spelling of 33738960 in words is "thirty-three million, seven hundred thirty-eight thousand, nine hundred sixty".