3202958087040 has 128 divisors (see below), whose sum is σ = 10254405755520. Its totient is φ = 850359388160.

The previous prime is 3202958086981. The next prime is 3202958087047. The reversal of 3202958087040 is 407808592023.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3202958087047) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3238626 + ... + 4110305.

It is an arithmetic number, because the mean of its divisors is an integer number (80112544965).

Almost surely, 2^{3202958087040} is an apocalyptic number.

3202958087040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3202958087040 is an abundant number, since it is smaller than the sum of its proper divisors (7051447668480).

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

3202958087040 is a wasteful number, since it uses less digits than its factorization.

3202958087040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7349180 (or 7349168 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 3202958087040 in words is "three trillion, two hundred two billion, nine hundred fifty-eight million, eighty-seven thousand, forty".