354923712 has 336 divisors, whose sum is σ = 1242608640. Its totient is φ = 95385600.

The previous prime is 354923707. The next prime is 354923713. The reversal of 354923712 is 217329453.

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

It is not an unprimeable number, because it can be changed into a prime (354923713) by changing a digit.

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, 2553339 + ... + 2553477.

It is an arithmetic number, because the mean of its divisors is an integer number (3698240).

Almost surely, 2^354923712 is an apocalyptic number.

354923712 is a gapful number since it is divisible by the number (32) 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 354923712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621304320).

354923712 is an abundant number, since it is smaller than the sum of its proper divisors (887684928).

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

354923712 is a wasteful number, since it uses less digits than its factorization.

354923712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 199 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 354923712 is about 18839.4190993247. The cubic root of 354923712 is about 708.0191510668.

It can be divided in two parts, 35492 and 3712, that added together give a square (39204 = 198²).

The spelling of 354923712 in words is "three hundred fifty-four million, nine hundred twenty-three thousand, seven hundred twelve".