33852900 has 36 divisors (see below), whose sum is σ = 97948592. Its totient is φ = 9027360.

The previous prime is 33852887. The next prime is 33852937. The reversal of 33852900 is 925833.

It is a happy number.

It is a super-2 number, since 2×33852900² = 2292037676820000, which contains 22 as substring.

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 11 ways as a sum of consecutive naturals, for example, 56122 + ... + 56721.

Almost surely, 2^33852900 is an apocalyptic number.

33852900 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

33852900 is an abundant number, since it is smaller than the sum of its proper divisors (64095692).

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

33852900 is a wasteful number, since it uses less digits than its factorization.

33852900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112860 (or 112853 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

The square root of 33852900 is about 5818.3245010914. The cubic root of 33852900 is about 323.4933018846.

The spelling of 33852900 in words is "thirty-three million, eight hundred fifty-two thousand, nine hundred".