336251916 has 432 divisors, whose sum is σ = 1226953728. Its totient is φ = 76204800.

The previous prime is 336251869. The next prime is 336251939. The reversal of 336251916 is 619152633.

336251916 is a `hidden beast` number, since 3 + 3 + 625 + 19 + 16 = 666.

It is a super-2 number, since 2×336251916² = 226130702027342112, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7819791 + ... + 7819833.

Almost surely, 2^336251916 is an apocalyptic number.

336251916 is a gapful number since it is divisible by the number (36) 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 336251916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (613476864).

336251916 is an abundant number, since it is smaller than the sum of its proper divisors (890701812).

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

336251916 is a wasteful number, since it uses less digits than its factorization.

336251916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 110 counting only the distinct ones).

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

The square root of 336251916 is about 18337.1730645702. The cubic root of 336251916 is about 695.3790289725.

It can be divided in two parts, 3362 and 51916, that added together give a triangular number (55278 = T₃₃₂).

The spelling of 336251916 in words is "three hundred thirty-six million, two hundred fifty-one thousand, nine hundred sixteen".