354376000 has 112 divisors (see below), whose sum is σ = 957632832. Its totient is φ = 128832000.

The previous prime is 354375979. The next prime is 354376003. The reversal of 354376000 is 673453.

It is a self number, because there is not a number n which added to its sum of digits gives 354376000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354376003) 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 15 ways as a sum of consecutive naturals, for example, 85987 + ... + 90013.

Almost surely, 2^354376000 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 354376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478816416).

354376000 is an abundant number, since it is smaller than the sum of its proper divisors (603256832).

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

354376000 is a wasteful number, since it uses less digits than its factorization.

354376000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4065 (or 4045 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 28.

The square root of 354376000 is about 18824.8771576337. The cubic root of 354376000 is about 707.6547626827.

The spelling of 354376000 in words is "three hundred fifty-four million, three hundred seventy-six thousand".