33979400 has 96 divisors (see below), whose sum is σ = 97285440. Its totient is φ = 10748160.

The previous prime is 33979397. The next prime is 33979409. The reversal of 33979400 is 497933.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (33979409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17267 + ... + 19133.

It is an arithmetic number, because the mean of its divisors is an integer number (1013390).

Almost surely, 2^33979400 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 33979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642720).

33979400 is an abundant number, since it is smaller than the sum of its proper divisors (63306040).

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

33979400 is a wasteful number, since it uses less digits than its factorization.

33979400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1903 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 35.

The square root of 33979400 is about 5829.1851917742. The cubic root of 33979400 is about 323.8957394555.

The spelling of 33979400 in words is "thirty-three million, nine hundred seventy-nine thousand, four hundred".