3340114102032 has 160 divisors (see below), whose sum is σ = 8857795564800. Its totient is φ = 1084269312000.

The previous prime is 3340114102019. The next prime is 3340114102067. The reversal of 3340114102032 is 2302014110433.

It is a happy number.

It is a super-2 number, since 2×3340114102032² (a number of 26 digits) contains 22 as substring.

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 = 3340114101993 and 3340114102011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91892182 + ... + 91928522.

It is an arithmetic number, because the mean of its divisors is an integer number (55361222280).

Almost surely, 2^{3340114102032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3340114102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4428897782400).

3340114102032 is an abundant number, since it is smaller than the sum of its proper divisors (5517681462768).

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

3340114102032 is a wasteful number, since it uses less digits than its factorization.

3340114102032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36753 (or 36747 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 3340114102032 its reverse (2302014110433), we get a palindrome (5642128212465).

The spelling of 3340114102032 in words is "three trillion, three hundred forty billion, one hundred fourteen million, one hundred two thousand, thirty-two".