354239424 has 336 divisors, whose sum is σ = 1299667200. Its totient is φ = 91445760.

The previous prime is 354239419. The next prime is 354239497. The reversal of 354239424 is 424932453.

354239424 is a `hidden beast` number, since 3 + 542 + 3 + 94 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-3 number, since 3×354239424³ (a number of 27 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2173167 + ... + 2173329.

Almost surely, 2^354239424 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 354239424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649833600).

354239424 is an abundant number, since it is smaller than the sum of its proper divisors (945427776).

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

354239424 is a wasteful number, since it uses less digits than its factorization.

354239424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 186 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 354239424 is about 18821.2492677824. The cubic root of 354239424 is about 707.5638412926.

It can be divided in two parts, 354 and 239424, that added together give a triangular number (239778 = T₆₉₂).

The spelling of 354239424 in words is "three hundred fifty-four million, two hundred thirty-nine thousand, four hundred twenty-four".