33738048 has 42 divisors (see below), whose sum is σ = 96705674. Its totient is φ = 11245824.

The previous prime is 33738041. The next prime is 33738073. The reversal of 33738048 is 84083733.

It can be written as a sum of positive squares in only one way, i.e., 33732864 + 5184 = 5808^2 + 72^2 .

It is a super-2 number, since 2×33738048² = 2276511765700608, 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 (33738041) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28711 + ... + 29862.

Almost surely, 2^33738048 is an apocalyptic number.

It is an amenable number.

33738048 is an abundant number, since it is smaller than the sum of its proper divisors (62967626).

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

33738048 is a wasteful number, since it uses less digits than its factorization.

33738048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58591 (or 58578 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 33738048 is about 5808.4462638472. The cubic root of 33738048 is about 323.1270511438.

The spelling of 33738048 in words is "thirty-three million, seven hundred thirty-eight thousand, forty-eight".