354106368 has 264 divisors, whose sum is σ = 1277328000. Its totient is φ = 91791360.

The previous prime is 354106351. The next prime is 354106411. The reversal of 354106368 is 863601453.

354106368 is a `hidden beast` number, since 3 + 5 + 4 + 10 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709383 + ... + 709881.

Almost surely, 2^354106368 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 354106368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638664000).

354106368 is an abundant number, since it is smaller than the sum of its proper divisors (923221632).

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

354106368 is a wasteful number, since it uses less digits than its factorization.

354106368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 354106368 is about 18817.7142076289. The cubic root of 354106368 is about 707.4752407606.

The spelling of 354106368 in words is "three hundred fifty-four million, one hundred six thousand, three hundred sixty-eight".