33730460733 has 96 divisors (see below), whose sum is σ = 52964720640. Its totient is φ = 19000396800.

The previous prime is 33730460713. The next prime is 33730460747. The reversal of 33730460733 is 33706403733.

It is not a de Polignac number, because 33730460733 - 2¹⁰ = 33730459709 is a prime.

It is a super-2 number, since 2×33730460733² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33730460691 and 33730460700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33730460713) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48117283 + ... + 48117983.

It is an arithmetic number, because the mean of its divisors is an integer number (551715840).

Almost surely, 2^33730460733 is an apocalyptic number.

It is an amenable number.

33730460733 is a deficient number, since it is larger than the sum of its proper divisors (19234259907).

33730460733 is a wasteful number, since it uses less digits than its factorization.

33730460733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 890 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 39.

The spelling of 33730460733 in words is "thirty-three billion, seven hundred thirty million, four hundred sixty thousand, seven hundred thirty-three".