3320400112032 has 48 divisors (see below), whose sum is σ = 8754111707040. Its totient is φ = 1101966842112.

The previous prime is 3320400111997. The next prime is 3320400112037. The reversal of 3320400112032 is 2302110040233.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×3320400112032² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3320400112037) 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 7 ways as a sum of consecutive naturals, for example, 75496578 + ... + 75540545.

It is an arithmetic number, because the mean of its divisors is an integer number (182377327230).

Almost surely, 2^{3320400112032} is an apocalyptic number.

3320400112032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3320400112032 is an abundant number, since it is smaller than the sum of its proper divisors (5433711595008).

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

3320400112032 is a wasteful number, since it uses less digits than its factorization.

3320400112032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151037365 (or 151037357 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 3320400112032 its reverse (2302110040233), we get a palindrome (5622510152265).

The spelling of 3320400112032 in words is "three trillion, three hundred twenty billion, four hundred million, one hundred twelve thousand, thirty-two".