354640000 has 320 divisors, whose sum is σ = 1070657280. Its totient is φ = 115200000.

The previous prime is 354639979. The next prime is 354640001. The reversal of 354640000 is 46453.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354640001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11439985 + ... + 11440015.

It is an arithmetic number, because the mean of its divisors is an integer number (3345804).

Almost surely, 2^354640000 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 354640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (535328640).

354640000 is an abundant number, since it is smaller than the sum of its proper divisors (716017280).

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

354640000 is a wasteful number, since it uses less digits than its factorization.

354640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 62 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 354640000 is about 18831.8878501333. The cubic root of 354640000 is about 707.8304465933.

Adding to 354640000 its reverse (46453), we get a palindrome (354686453).

The spelling of 354640000 in words is "three hundred fifty-four million, six hundred forty thousand".