353972727108 has 1920 divisors, whose sum is σ = 1442539929600. Its totient is φ = 72559411200.

The previous prime is 353972727071. The next prime is 353972727169. The reversal of 353972727108 is 801727279353.

353972727108 is a `hidden beast` number, since 3 + 539 + 72 + 7 + 27 + 10 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 3247456158 + ... + 3247456266.

It is an arithmetic number, because the mean of its divisors is an integer number (751322880).

Almost surely, 2^353972727108 is an apocalyptic number.

353972727108 is a gapful number since it is divisible by the number (38) 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 353972727108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721269964800).

353972727108 is an abundant number, since it is smaller than the sum of its proper divisors (1088567202492).

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

353972727108 is a wasteful number, since it uses less digits than its factorization.

353972727108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 353972727108 in words is "three hundred fifty-three billion, nine hundred seventy-two million, seven hundred twenty-seven thousand, one hundred eight".