33939360000672 has 96 divisors (see below), whose sum is σ = 107807378861952. Its totient is φ = 9126550585344.

The previous prime is 33939360000671. The next prime is 33939360000673. The reversal of 33939360000672 is 27600006393933.

It is an interprime number because it is at equal distance from previous prime (33939360000671) and next prime (33939360000673).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (33939360000671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485429753 + ... + 1485452600.

It is an arithmetic number, because the mean of its divisors is an integer number (1122993529812).

Almost surely, 2^{33939360000672} is an apocalyptic number.

33939360000672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

33939360000672 is an abundant number, since it is smaller than the sum of its proper divisors (73868018861280).

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

33939360000672 is a wasteful number, since it uses less digits than its factorization.

33939360000672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970882390 (or 2970882382 counting only the distinct ones).

The product of its (nonzero) digits is 3306744, while the sum is 51.

The spelling of 33939360000672 in words is "thirty-three trillion, nine hundred thirty-nine billion, three hundred sixty million, six hundred seventy-two", and thus it is an aban number.