33740048 has 40 divisors (see below), whose sum is σ = 70516320. Its totient is φ = 15586560.

The previous prime is 33740039. The next prime is 33740099. The reversal of 33740048 is 84004733.

It is a super-2 number, since 2×33740048² = 2276781678084608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 33740048.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11111 + ... + 13817.

It is an arithmetic number, because the mean of its divisors is an integer number (1762908).

Almost surely, 2^33740048 is an apocalyptic number.

33740048 is a gapful number since it is divisible by the number (38) 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 33740048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35258160).

33740048 is an abundant number, since it is smaller than the sum of its proper divisors (36776272).

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

33740048 is a wasteful number, since it uses less digits than its factorization.

33740048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2775 (or 2769 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 29.

The square root of 33740048 is about 5808.6184243760. The cubic root of 33740048 is about 323.1334360354.

The spelling of 33740048 in words is "thirty-three million, seven hundred forty thousand, forty-eight".