3023023132032 has 128 divisors (see below), whose sum is σ = 8165711347200. Its totient is φ = 990711214080.

The previous prime is 3023023132007. The next prime is 3023023132079. The reversal of 3023023132032 is 2302313203203.

3023023132032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (24).

It is a junction number, because it is equal to n+sod(n) for n = 3023023131993 and 3023023132011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9633348 + ... + 9942204.

It is an arithmetic number, because the mean of its divisors is an integer number (63794619900).

Almost surely, 2^{3023023132032} is an apocalyptic number.

3023023132032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3023023132032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082855673600).

3023023132032 is an abundant number, since it is smaller than the sum of its proper divisors (5142688215168).

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

3023023132032 is a wasteful number, since it uses less digits than its factorization.

3023023132032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309304 (or 309292 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 24.

Adding to 3023023132032 its reverse (2302313203203), we get a palindrome (5325336335235).

The spelling of 3023023132032 in words is "three trillion, twenty-three billion, twenty-three million, one hundred thirty-two thousand, thirty-two".