353426040 has 192 divisors, whose sum is σ = 1293926400. Its totient is φ = 82886400.

The previous prime is 353426033. The next prime is 353426057. The reversal of 353426040 is 40624353.

353426040 is a `hidden beast` number, since 3 + 53 + 4 + 2 + 604 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 353425995 and 353426013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121321 + ... + 124199.

It is an arithmetic number, because the mean of its divisors is an integer number (6739200).

Almost surely, 2^353426040 is an apocalyptic number.

353426040 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 353426040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646963200).

353426040 is an abundant number, since it is smaller than the sum of its proper divisors (940500360).

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

353426040 is a wasteful number, since it uses less digits than its factorization.

353426040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2931 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 353426040 is about 18799.6287197381. The cubic root of 353426040 is about 707.0218705952.

The spelling of 353426040 in words is "three hundred fifty-three million, four hundred twenty-six thousand, forty".