33388740 has 288 divisors, whose sum is σ = 132276480. Its totient is φ = 6842880.

The previous prime is 33388727. The next prime is 33388783. The reversal of 33388740 is 4788333.

It is a super-2 number, since 2×33388740² = 2229615917575200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 33388695 and 33388704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 457344 + ... + 457416.

Almost surely, 2^33388740 is an apocalyptic number.

33388740 is a gapful number since it is divisible by the number (30) 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 33388740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66138240).

33388740 is an abundant number, since it is smaller than the sum of its proper divisors (98887740).

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

33388740 is a wasteful number, since it uses less digits than its factorization.

33388740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 101 counting only the distinct ones).

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

The square root of 33388740 is about 5778.2990576812. The cubic root of 33388740 is about 322.0080113229.

The spelling of 33388740 in words is "thirty-three million, three hundred eighty-eight thousand, seven hundred forty".