352456104000 has 1792 divisors, whose sum is σ = 1656432820224. Its totient is φ = 63553536000.

The previous prime is 352456103977. The next prime is 352456104023. The reversal of 352456104000 is 401654253.

It is an interprime number because it is at equal distance from previous prime (352456103977) and next prime (352456104023).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 408407569 + ... + 408408431.

It is an arithmetic number, because the mean of its divisors is an integer number (924348672).

Almost surely, 2^352456104000 is an apocalyptic number.

352456104000 is a gapful number since it is divisible by the number (30) 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 352456104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828216410112).

352456104000 is an abundant number, since it is smaller than the sum of its proper divisors (1303976716224).

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

352456104000 is a wasteful number, since it uses less digits than its factorization.

352456104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 941 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 352456104000 its reverse (401654253), we get a palindrome (352857758253).

The spelling of 352456104000 in words is "three hundred fifty-two billion, four hundred fifty-six million, one hundred four thousand".