353540640 has 96 divisors (see below), whose sum is σ = 1118093760. Its totient is φ = 93901824.

The previous prime is 353540633. The next prime is 353540641. The reversal of 353540640 is 46045353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 353540598 and 353540607.

It is not an unprimeable number, because it can be changed into a prime (353540641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 131631 + ... + 134289.

It is an arithmetic number, because the mean of its divisors is an integer number (11646810).

Almost surely, 2^353540640 is an apocalyptic number.

353540640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353540640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (559046880).

353540640 is an abundant number, since it is smaller than the sum of its proper divisors (764553120).

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

353540640 is a wasteful number, since it uses less digits than its factorization.

353540640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2954 (or 2946 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 353540640 is about 18802.6764052355. The cubic root of 353540640 is about 707.0982806888.

Adding to 353540640 its reverse (46045353), we get a palindrome (399585993).

The spelling of 353540640 in words is "three hundred fifty-three million, five hundred forty thousand, six hundred forty".