353540096 has 144 divisors (see below), whose sum is σ = 888844320. Its totient is φ = 139345920.

The previous prime is 353540093. The next prime is 353540101. The reversal of 353540096 is 690045353.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (353540093) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1304441 + ... + 1304711.

It is an arithmetic number, because the mean of its divisors is an integer number (6172530).

Almost surely, 2^353540096 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 353540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444422160).

353540096 is an abundant number, since it is smaller than the sum of its proper divisors (535304224).

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

353540096 is a wasteful number, since it uses less digits than its factorization.

353540096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 35.

The square root of 353540096 is about 18802.6619392042. The cubic root of 353540096 is about 707.0979180133.

The spelling of 353540096 in words is "three hundred fifty-three million, five hundred forty thousand, ninety-six".