33400070334 has 32 divisors (see below), whose sum is σ = 74987569440. Its totient is φ = 11018578176.

The previous prime is 33400070309. The next prime is 33400070387. The reversal of 33400070334 is 43307000433.

It is a super-3 number, since 3×33400070334³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33400070298 and 33400070307.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3183009 + ... + 3193484.

It is an arithmetic number, because the mean of its divisors is an integer number (2343361545).

Almost surely, 2^33400070334 is an apocalyptic number.

33400070334 is an abundant number, since it is smaller than the sum of its proper divisors (41587499106).

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

33400070334 is a wasteful number, since it uses less digits than its factorization.

33400070334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6376601 (or 6376595 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 27.

Adding to 33400070334 its reverse (43307000433), we get a palindrome (76707070767).

The spelling of 33400070334 in words is "thirty-three billion, four hundred million, seventy thousand, three hundred thirty-four".