359978112 has 216 divisors, whose sum is σ = 1148378985. Its totient is φ = 108186624.

The previous prime is 359978093. The next prime is 359978119. The reversal of 359978112 is 211879953.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 307791936 + 52186176 = 17544^2 + 7224^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=13416.

It is a super-2 number, since 2×359978112² = 259168482238169088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (359978119) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8371563 + ... + 8371605.

Almost surely, 2^359978112 is an apocalyptic number.

359978112 is a gapful number since it is divisible by the number (32) 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 359978112

359978112 is an abundant number, since it is smaller than the sum of its proper divisors (788400873).

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

359978112 is a wasteful number, since it uses less digits than its factorization.

359978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 61 counting only the distinct ones).

The product of its digits is 136080, while the sum is 45.

The square root of 359978112 is about 18973.0891527974. The cubic root of 359978112 is about 711.3642433316.

The spelling of 359978112 in words is "three hundred fifty-nine million, nine hundred seventy-eight thousand, one hundred twelve".