33970125312 has 60 divisors (see below), whose sum is σ = 98040095010. Its totient is φ = 11323373568.

The previous prime is 33970125247. The next prime is 33970125313. The reversal of 33970125312 is 21352107933.

It is a happy number.

33970125312 is a `hidden beast` number, since 3 + 397 + 0 + 1 + 253 + 12 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19070505216 + 14899620096 = 138096^2 + 122064^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (33970125313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3681387 + ... + 3690602.

Almost surely, 2^33970125312 is an apocalyptic number.

33970125312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33970125312 is an abundant number, since it is smaller than the sum of its proper divisors (64069969698).

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

33970125312 is an equidigital number, since it uses as much as digits as its factorization.

33970125312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7372013 (or 7371994 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 33970125312 in words is "thirty-three billion, nine hundred seventy million, one hundred twenty-five thousand, three hundred twelve".