354009840 has 80 divisors (see below), whose sum is σ = 1115467296. Its totient is φ = 92851200.

The previous prime is 354009797. The next prime is 354009847. The reversal of 354009840 is 48900453.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (354009847) 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, 2550 + ... + 26730.

Almost surely, 2^354009840 is an apocalyptic number.

354009840 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 354009840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557733648).

354009840 is an abundant number, since it is smaller than the sum of its proper divisors (761457456).

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

354009840 is a wasteful number, since it uses less digits than its factorization.

354009840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24258 (or 24252 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 354009840 is about 18815.1492154593. The cubic root of 354009840 is about 707.4109499312.

The spelling of 354009840 in words is "three hundred fifty-four million, nine thousand, eight hundred forty".