33680400 has 240 divisors, whose sum is σ = 123992064. Its totient is φ = 7741440.

The previous prime is 33680371. The next prime is 33680401. The reversal of 33680400 is 408633.

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

It is a super-2 number, since 2×33680400² = 2268738688320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (33680401) 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, 265137 + ... + 265263.

Almost surely, 2^33680400 is an apocalyptic number.

33680400 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 33680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61996032).

33680400 is an abundant number, since it is smaller than the sum of its proper divisors (90311664).

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

33680400 is a wasteful number, since it uses less digits than its factorization.

33680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 33680400 is about 5803.4817135923. The cubic root of 33680400 is about 322.9429044700.

The spelling of 33680400 in words is "thirty-three million, six hundred eighty thousand, four hundred".