352673372240 has 240 divisors, whose sum is σ = 1006514864640. Its totient is φ = 114357196800.

The previous prime is 352673372209. The next prime is 352673372281. The reversal of 352673372240 is 42273376253.

It is a junction number, because it is equal to n+sod(n) for n = 352673372191 and 352673372200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8002265 + ... + 8046215.

It is an arithmetic number, because the mean of its divisors is an integer number (4193811936).

Almost surely, 2^352673372240 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 352673372240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503257432320).

352673372240 is an abundant number, since it is smaller than the sum of its proper divisors (653841492400).

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

352673372240 is a wasteful number, since it uses less digits than its factorization.

352673372240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44090 (or 44077 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 44.

The spelling of 352673372240 in words is "three hundred fifty-two billion, six hundred seventy-three million, three hundred seventy-two thousand, two hundred forty".