354644385240 has 128 divisors (see below), whose sum is σ = 1120992825600. Its totient is φ = 89509317120.

The previous prime is 354644385203. The next prime is 354644385269. The reversal of 354644385240 is 42583446453.

It is a happy number.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 354644385240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2345779 + ... + 2492381.

It is an arithmetic number, because the mean of its divisors is an integer number (8757756450).

Almost surely, 2^354644385240 is an apocalyptic number.

354644385240 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 354644385240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560496412800).

354644385240 is an abundant number, since it is smaller than the sum of its proper divisors (766348440360).

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

354644385240 is a wasteful number, since it uses less digits than its factorization.

354644385240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147697 (or 147693 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 48.

The spelling of 354644385240 in words is "three hundred fifty-four billion, six hundred forty-four million, three hundred eighty-five thousand, two hundred forty".