33620000 has 90 divisors (see below), whose sum is σ = 84776769. Its totient is φ = 13120000.

The previous prime is 33619981. The next prime is 33620003. The reversal of 33620000 is 2633.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 8 ways, for example, as 18905104 + 14714896 = 4348^2 + 3836^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=4100.

It is a super-2 number, since 2×33620000² = 2260608800000000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33620003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 819980 + ... + 820020.

Almost surely, 2^33620000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33620000

33620000 is an abundant number, since it is smaller than the sum of its proper divisors (51156769).

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

33620000 is an frugal number, since it uses more digits than its factorization.

33620000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 33620000 is about 5798.2756057297. The cubic root of 33620000 is about 322.7497414520.

Adding to 33620000 its reverse (2633), we get a palindrome (33622633).

The spelling of 33620000 in words is "thirty-three million, six hundred twenty thousand".