354375840 has 576 divisors, whose sum is σ = 1496154240. Its totient is φ = 69672960.

The previous prime is 354375811. The next prime is 354375841. The reversal of 354375840 is 48573453.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354375841) 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 95 ways as a sum of consecutive naturals, for example, 5809410 + ... + 5809470.

It is an arithmetic number, because the mean of its divisors is an integer number (2597490).

Almost surely, 2^354375840 is an apocalyptic number.

354375840 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 354375840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (748077120).

354375840 is an abundant number, since it is smaller than the sum of its proper divisors (1141778400).

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

354375840 is a wasteful number, since it uses less digits than its factorization.

354375840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The square root of 354375840 is about 18824.8729079375. The cubic root of 354375840 is about 707.6546561811.

The spelling of 354375840 in words is "three hundred fifty-four million, three hundred seventy-five thousand, eight hundred forty".