353354540 has 96 divisors (see below), whose sum is σ = 941068800. Its totient is φ = 108241920.

The previous prime is 353354539. The next prime is 353354567. The reversal of 353354540 is 45453353.

It is a super-2 number, since 2×353354540² = 249718861877223200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 353354497 and 353354506.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88916 + ... + 92804.

It is an arithmetic number, because the mean of its divisors is an integer number (9802800).

Almost surely, 2^353354540 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 353354540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470534400).

353354540 is an abundant number, since it is smaller than the sum of its proper divisors (587714260).

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

353354540 is a wasteful number, since it uses less digits than its factorization.

353354540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3975 (or 3973 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 32.

The square root of 353354540 is about 18797.7269902507. The cubic root of 353354540 is about 706.9741892632.

The spelling of 353354540 in words is "three hundred fifty-three million, three hundred fifty-four thousand, five hundred forty".