352973538 has 48 divisors (see below), whose sum is σ = 798033600. Its totient is φ = 116926416.

The previous prime is 352973527. The next prime is 352973549. The reversal of 352973538 is 835379253.

352973538 is a `hidden beast` number, since 3 + 5 + 297 + 353 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (352973527) and next prime (352973549).

It is a junction number, because it is equal to n+sod(n) for n = 352973493 and 352973502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78988 + ... + 83336.

It is an arithmetic number, because the mean of its divisors is an integer number (16625700).

Almost surely, 2^352973538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 352973538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399016800).

352973538 is an abundant number, since it is smaller than the sum of its proper divisors (445060062).

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

352973538 is a wasteful number, since it uses less digits than its factorization.

352973538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4521 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 352973538 is about 18787.5899997844. The cubic root of 352973538 is about 706.7200012651.

The spelling of 352973538 in words is "three hundred fifty-two million, nine hundred seventy-three thousand, five hundred thirty-eight".