353696112 has 400 divisors, whose sum is σ = 1333724160. Its totient is φ = 88905600.

The previous prime is 353696107. The next prime is 353696159. The reversal of 353696112 is 211696353.

353696112 is a `hidden beast` number, since 3 + 5 + 36 + 9 + 611 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (29160) is a multiple of the sum of its prime divisors (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11409537 + ... + 11409567.

Almost surely, 2^353696112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353696112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666862080).

353696112 is an abundant number, since it is smaller than the sum of its proper divisors (980028048).

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

353696112 is a wasteful number, since it uses less digits than its factorization.

353696112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 54 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 353696112 is about 18806.8102558621. The cubic root of 353696112 is about 707.2019159909.

The spelling of 353696112 in words is "three hundred fifty-three million, six hundred ninety-six thousand, one hundred twelve".