3332101000032 has 72 divisors (see below), whose sum is σ = 10829328256656. Its totient is φ = 952028856576.

The previous prime is 3332100999991. The next prime is 3332101000051. The reversal of 3332101000032 is 2300001012333.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×3332101000032³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3332100999969 and 3332101000014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826411923 + ... + 826415954.

It is an arithmetic number, because the mean of its divisors is an integer number (150407336898).

Almost surely, 2^{3332101000032} is an apocalyptic number.

3332101000032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3332101000032 is an abundant number, since it is smaller than the sum of its proper divisors (7497227256624).

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

3332101000032 is a wasteful number, since it uses less digits than its factorization.

3332101000032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652827900 (or 1652827889 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 3332101000032 its reverse (2300001012333), we get a palindrome (5632102012365).

The spelling of 3332101000032 in words is "three trillion, three hundred thirty-two billion, one hundred one million, thirty-two", and thus it is an aban number.