352115313004 has 144 divisors (see below), whose sum is σ = 798772617216. Its totient is φ = 134479094400.

The previous prime is 352115313001. The next prime is 352115313013. The reversal of 352115313004 is 400313511253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (352115313001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34038657 + ... + 34048999.

It is an arithmetic number, because the mean of its divisors is an integer number (5547032064).

Almost surely, 2^352115313004 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 352115313004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399386308608).

352115313004 is an abundant number, since it is smaller than the sum of its proper divisors (446657304212).

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

352115313004 is a wasteful number, since it uses less digits than its factorization.

352115313004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10836 (or 10827 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

Adding to 352115313004 its reverse (400313511253), we get a palindrome (752428824257).

The spelling of 352115313004 in words is "three hundred fifty-two billion, one hundred fifteen million, three hundred thirteen thousand, four".