354461536 has 96 divisors (see below), whose sum is σ = 832156416. Its totient is φ = 146496000.

The previous prime is 354461507. The next prime is 354461551. The reversal of 354461536 is 635164453.

It is a junction number, because it is equal to n+sod(n) for n = 354461495 and 354461504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 324351 + ... + 325441.

It is an arithmetic number, because the mean of its divisors is an integer number (8668296).

Almost surely, 2^354461536 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 354461536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416078208).

354461536 is an abundant number, since it is smaller than the sum of its proper divisors (477694880).

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

354461536 is a wasteful number, since it uses less digits than its factorization.

354461536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1196 (or 1188 counting only the distinct ones).

The product of its digits is 129600, while the sum is 37.

The square root of 354461536 is about 18827.1489078936. The cubic root of 354461536 is about 707.7116938221.

The spelling of 354461536 in words is "three hundred fifty-four million, four hundred sixty-one thousand, five hundred thirty-six".