33794640 has 240 divisors, whose sum is σ = 131616576. Its totient is φ = 7680000.

The previous prime is 33794611. The next prime is 33794641. The reversal of 33794640 is 4649733.

33794640 is a `hidden beast` number, since 3 + 3 + 7 + 9 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×33794640² = 2284155385459200, 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 = 33794595 and 33794604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33794641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134515 + ... + 134765.

Almost surely, 2^33794640 is an apocalyptic number.

33794640 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 33794640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65808288).

33794640 is an abundant number, since it is smaller than the sum of its proper divisors (97821936).

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

33794640 is a wasteful number, since it uses less digits than its factorization.

33794640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 33794640 is about 5813.3157492089. The cubic root of 33794640 is about 323.3076206806.

The spelling of 33794640 in words is "thirty-three million, seven hundred ninety-four thousand, six hundred forty".