335978112 has 128 divisors (see below), whose sum is σ = 942480000. Its totient is φ = 105836544.

The previous prime is 335978101. The next prime is 335978141. The reversal of 335978112 is 211879533.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×335978112² = 225762583486169088, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 962514 + ... + 962862.

It is an arithmetic number, because the mean of its divisors is an integer number (7363125).

Almost surely, 2^335978112 is an apocalyptic number.

335978112 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 335978112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (471240000).

335978112 is an abundant number, since it is smaller than the sum of its proper divisors (606501888).

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

335978112 is a wasteful number, since it uses less digits than its factorization.

335978112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 486 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 335978112 is about 18329.7057259521. The cubic root of 335978112 is about 695.1902327623.

The spelling of 335978112 in words is "three hundred thirty-five million, nine hundred seventy-eight thousand, one hundred twelve".