33868010400 has 288 divisors, whose sum is σ = 126291166848. Its totient is φ = 7722700800.

The previous prime is 33868010381. The next prime is 33868010483. The reversal of 33868010400 is 401086833.

It is a super-2 number, since 2×33868010400² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7742614 + ... + 7746986.

It is an arithmetic number, because the mean of its divisors is an integer number (438510996).

Almost surely, 2^33868010400 is an apocalyptic number.

33868010400 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 33868010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63145583424).

33868010400 is an abundant number, since it is smaller than the sum of its proper divisors (92423156448).

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

33868010400 is a wasteful number, since it uses less digits than its factorization.

33868010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4864 (or 4851 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 33868010400 in words is "thirty-three billion, eight hundred sixty-eight million, ten thousand, four hundred".