354645000 has 320 divisors, whose sum is σ = 1282089600. Its totient is φ = 90720000.

The previous prime is 354644999. The next prime is 354645019. The reversal of 354645000 is 546453.

354645000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 79 ways as a sum of consecutive naturals, for example, 4994965 + ... + 4995035.

It is an arithmetic number, because the mean of its divisors is an integer number (4006530).

Almost surely, 2^354645000 is an apocalyptic number.

354645000 is a gapful number since it is divisible by the number (30) 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 354645000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (641044800).

354645000 is an abundant number, since it is smaller than the sum of its proper divisors (927444600).

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

354645000 is a wasteful number, since it uses less digits than its factorization.

354645000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 354645000 is about 18832.0206032173. The cubic root of 354645000 is about 707.8337730986.

The spelling of 354645000 in words is "three hundred fifty-four million, six hundred forty-five thousand".