33807400010692 has 192 divisors, whose sum is σ = 77891450112000. Its totient is φ = 12438713548800.

The previous prime is 33807400010663. The next prime is 33807400010723. The reversal of 33807400010692 is 29601000470833.

It is a super-2 number, since 2×33807400010692² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3471337159 + ... + 3471346897.

It is an arithmetic number, because the mean of its divisors is an integer number (405684636000).

Almost surely, 2^{33807400010692} 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 33807400010692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38945725056000).

33807400010692 is an abundant number, since it is smaller than the sum of its proper divisors (44084050101308).

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

33807400010692 is a wasteful number, since it uses less digits than its factorization.

33807400010692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11610 (or 11608 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 33807400010692 in words is "thirty-three trillion, eight hundred seven billion, four hundred million, ten thousand, six hundred ninety-two".