353972340 has 72 divisors (see below), whose sum is σ = 1102756200. Its totient is φ = 91839744.

The previous prime is 353972327. The next prime is 353972383. The reversal of 353972340 is 43279353.

353972340 is a `hidden beast` number, since 35 + 397 + 234 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116380944 + 237591396 = 10788^2 + 15414^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 353972295 and 353972304.

It is a congruent number.

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, 19915 + ... + 33234.

Almost surely, 2^353972340 is an apocalyptic number.

353972340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

353972340 is an abundant number, since it is smaller than the sum of its proper divisors (748783860).

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

353972340 is a wasteful number, since it uses less digits than its factorization.

353972340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53201 (or 53196 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 353972340 is about 18814.1526516609. The cubic root of 353972340 is about 707.3859705432.

The spelling of 353972340 in words is "three hundred fifty-three million, nine hundred seventy-two thousand, three hundred forty".