352449440784 has 400 divisors, whose sum is σ = 1219722932736. Its totient is φ = 96148684800.

The previous prime is 352449440753. The next prime is 352449440809. The reversal of 352449440784 is 487044944253.

352449440784 is a `hidden beast` number, since 3 + 524 + 4 + 9 + 4 + 40 + 78 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 352449440784.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 17471664 + ... + 17491824.

Almost surely, 2^352449440784 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 352449440784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609861466368).

352449440784 is an abundant number, since it is smaller than the sum of its proper divisors (867273491952).

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

352449440784 is a wasteful number, since it uses less digits than its factorization.

352449440784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20276 (or 20261 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 352449440784 in words is "three hundred fifty-two billion, four hundred forty-nine million, four hundred forty thousand, seven hundred eighty-four".