33966992774400 has 1728 divisors, whose sum is σ = 138635646750720. Its totient is φ = 7155685785600.

The previous prime is 33966992774357. The next prime is 33966992774437. The reversal of 33966992774400 is 447729966933.

It is a super-2 number, since 2×33966992774400² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (69).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10519351986 + ... + 10519355214.

It is an arithmetic number, because the mean of its divisors is an integer number (80228962240).

Almost surely, 2^{33966992774400} is an apocalyptic number.

33966992774400 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 33966992774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69317823375360).

33966992774400 is an abundant number, since it is smaller than the sum of its proper divisors (104668653976320).

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

33966992774400 is a wasteful number, since it uses less digits than its factorization.

33966992774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3393 counting only the distinct ones).

The product of its (nonzero) digits is 370355328, while the sum is 69.

The spelling of 33966992774400 in words is "thirty-three trillion, nine hundred sixty-six billion, nine hundred ninety-two million, seven hundred seventy-four thousand, four hundred".