353872696320 has 2112 divisors, whose sum is σ = 1592383898880. Its totient is φ = 74530160640.

The previous prime is 353872696313. The next prime is 353872696343. The reversal of 353872696320 is 23696278353.

It is a happy number.

353872696320 is a `hidden beast` number, since 3 + 53 + 8 + 7 + 269 + 6 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (2112).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20816040952 + ... + 20816040968.

Almost surely, 2^353872696320 is an apocalyptic number.

353872696320 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 353872696320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796191949440).

353872696320 is an abundant number, since it is smaller than the sum of its proper divisors (1238511202560).

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

353872696320 is a wasteful number, since it uses less digits than its factorization.

353872696320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 353872696320 in words is "three hundred fifty-three billion, eight hundred seventy-two million, six hundred ninety-six thousand, three hundred twenty".