33870900 has 108 divisors (see below), whose sum is σ = 112888608. Its totient is φ = 7680960.

The previous prime is 33870887. The next prime is 33870913. The reversal of 33870900 is 907833.

It is an interprime number because it is at equal distance from previous prime (33870887) and next prime (33870913).

It is a super-2 number, since 2×33870900² = 2294475733620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 266637 + ... + 266763.

Almost surely, 2^33870900 is an apocalyptic number.

33870900 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 33870900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56444304).

33870900 is an abundant number, since it is smaller than the sum of its proper divisors (79017708).

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

33870900 is a wasteful number, since it uses less digits than its factorization.

33870900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 33870900 is about 5819.8711325939. The cubic root of 33870900 is about 323.5506268376.

The spelling of 33870900 in words is "thirty-three million, eight hundred seventy thousand, nine hundred".