33774048 has 144 divisors (see below), whose sum is σ = 119822976. Its totient is φ = 8766720.

The previous prime is 33774043. The next prime is 33774071. The reversal of 33774048 is 84047733.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×33774048² = 2281372636612608, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (33774043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21415 + ... + 22937.

It is an arithmetic number, because the mean of its divisors is an integer number (832104).

Almost surely, 2^33774048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33774048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59911488).

33774048 is an abundant number, since it is smaller than the sum of its proper divisors (86048928).

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

33774048 is a wasteful number, since it uses less digits than its factorization.

33774048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 33774048 is about 5811.5443730561. The cubic root of 33774048 is about 323.2419406083.

The spelling of 33774048 in words is "thirty-three million, seven hundred seventy-four thousand, forty-eight".