33378400 has 72 divisors (see below), whose sum is σ = 88916184. Its totient is φ = 12134400.

The previous prime is 33378377. The next prime is 33378409. The reversal of 33378400 is 487333.

It is a super-2 number, since 2×33378400² = 2228235173120000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33378409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6904 + ... + 10696.

It is an arithmetic number, because the mean of its divisors is an integer number (1234947).

Almost surely, 2^33378400 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 33378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44458092).

33378400 is an abundant number, since it is smaller than the sum of its proper divisors (55537784).

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

33378400 is a wasteful number, since it uses less digits than its factorization.

33378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824 (or 3811 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 28.

The square root of 33378400 is about 5777.4042614309. The cubic root of 33378400 is about 321.9747675147.

The spelling of 33378400 in words is "thirty-three million, three hundred seventy-eight thousand, four hundred".