33792420 has 48 divisors (see below), whose sum is σ = 95332608. Its totient is φ = 8943360.

The previous prime is 33792401. The next prime is 33792457. The reversal of 33792420 is 2429733.

It is a super-2 number, since 2×33792420² = 2283855298912800, which contains 22 as substring.

It is a Smith number, since the sum of its digits (30) 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6165 + ... + 10275.

It is an arithmetic number, because the mean of its divisors is an integer number (1986096).

Almost surely, 2^33792420 is an apocalyptic number.

33792420 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 33792420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47666304).

33792420 is an abundant number, since it is smaller than the sum of its proper divisors (61540188).

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

33792420 is a wasteful number, since it uses less digits than its factorization.

33792420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4260 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 33792420 is about 5813.1248051285. The cubic root of 33792420 is about 323.3005410704.

The spelling of 33792420 in words is "thirty-three million, seven hundred ninety-two thousand, four hundred twenty".