352438678900 has 432 divisors, whose sum is σ = 1009832866560. Its totient is φ = 105481958400.

The previous prime is 352438678861. The next prime is 352438678901. The reversal of 352438678900 is 9876834253.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (352438678901) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 157548582 + ... + 157550818.

It is an arithmetic number, because the mean of its divisors is an integer number (2337576080).

Almost surely, 2^352438678900 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 352438678900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504916433280).

352438678900 is an abundant number, since it is smaller than the sum of its proper divisors (657394187660).

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

352438678900 is a wasteful number, since it uses less digits than its factorization.

352438678900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2378 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 55.

The spelling of 352438678900 in words is "three hundred fifty-two billion, four hundred thirty-eight million, six hundred seventy-eight thousand, nine hundred".