33368738019400 has 384 divisors, whose sum is σ = 92334090240000. Its totient is φ = 10972787696640.

The previous prime is 33368738019373. The next prime is 33368738019413. The reversal of 33368738019400 is 491083786333.

It is a super-2 number, since 2×33368738019400² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5518227177 + ... + 5518233223.

It is an arithmetic number, because the mean of its divisors is an integer number (240453360000).

Almost surely, 2^{33368738019400} 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 33368738019400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46167045120000).

33368738019400 is an abundant number, since it is smaller than the sum of its proper divisors (58965352220600).

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

33368738019400 is a wasteful number, since it uses less digits than its factorization.

33368738019400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6972 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 55.

The spelling of 33368738019400 in words is "thirty-three trillion, three hundred sixty-eight billion, seven hundred thirty-eight million, nineteen thousand, four hundred".