33748416 has 84 divisors (see below), whose sum is σ = 104197912. Its totient is φ = 10381824.

The previous prime is 33748409. The next prime is 33748457. The reversal of 33748416 is 61484733.

It is a super-2 number, since 2×33748416² = 2277911165018112, 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 an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5235 + ... + 9741.

Almost surely, 2^33748416 is an apocalyptic number.

33748416 is a gapful number since it is divisible by the number (36) 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 33748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52098956).

33748416 is an abundant number, since it is smaller than the sum of its proper divisors (70449496).

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

33748416 is a wasteful number, since it uses less digits than its factorization.

33748416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4538 (or 4525 counting only the distinct ones).

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

The square root of 33748416 is about 5809.3386886977. The cubic root of 33748416 is about 323.1601476856.

The spelling of 33748416 in words is "thirty-three million, seven hundred forty-eight thousand, four hundred sixteen".