33881472 has 48 divisors (see below), whose sum is σ = 97500780. Its totient is φ = 11293440.

The previous prime is 33881453. The next prime is 33881473. The reversal of 33881472 is 27418833.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×33881472² = 2295908289773568, 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 (33881473) 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, 13554 + ... + 15857.

Almost surely, 2^33881472 is an apocalyptic number.

33881472 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33881472 is an abundant number, since it is smaller than the sum of its proper divisors (63619308).

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

33881472 is a wasteful number, since it uses less digits than its factorization.

33881472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29431 (or 29416 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 33881472 is about 5820.7793292651. The cubic root of 33881472 is about 323.5842862267.

It can be divided in two parts, 338 and 81472, that added together give a triangular number (81810 = T₄₀₄).

The spelling of 33881472 in words is "thirty-three million, eight hundred eighty-one thousand, four hundred seventy-two".