353787040000 has 135 divisors (see below), whose sum is σ = 883051494787. Its totient is φ = 141419648000.

The previous prime is 353787039973. The next prime is 353787040007. The reversal of 353787040000 is 40787353.

The square root of 353787040000 is 594800.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 27736903936 + 326050136064 = 166544^2 + 571008^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (353787040007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 237919257 + ... + 237920743.

Almost surely, 2^353787040000 is an apocalyptic number.

353787040000 is the 594800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353787040000

353787040000 is an abundant number, since it is smaller than the sum of its proper divisors (529264454787).

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

353787040000 is an frugal number, since it uses more digits than its factorization.

353787040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3010 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 37.

The spelling of 353787040000 in words is "three hundred fifty-three billion, seven hundred eighty-seven million, forty thousand".