33504037938 has 80 divisors (see below), whose sum is σ = 85878365760. Its totient is φ = 9563694624.

The previous prime is 33504037921. The next prime is 33504037951. The reversal of 33504037938 is 83973040533.

It is a super-2 number, since 2×33504037938² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 33504037893 and 33504037902.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1260328 + ... + 1286636.

It is an arithmetic number, because the mean of its divisors is an integer number (1073479572).

Almost surely, 2^33504037938 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33504037938, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42939182880).

33504037938 is an abundant number, since it is smaller than the sum of its proper divisors (52374327822).

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

33504037938 is a wasteful number, since it uses less digits than its factorization.

33504037938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27453 (or 27444 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 33504037938 in words is "thirty-three billion, five hundred four million, thirty-seven thousand, nine hundred thirty-eight".