336415072 has 48 divisors (see below), whose sum is σ = 760838400. Its totient is φ = 143434368.

The previous prime is 336415003. The next prime is 336415073. The reversal of 336415072 is 270514633.

It is a super-2 number, since 2×336415072² = 226350201337530368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (336415073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40803 + ... + 48349.

It is an arithmetic number, because the mean of its divisors is an integer number (15850800).

Almost surely, 2^336415072 is an apocalyptic number.

336415072 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 336415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380419200).

336415072 is an abundant number, since it is smaller than the sum of its proper divisors (424423328).

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

336415072 is a wasteful number, since it uses less digits than its factorization.

336415072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7763 (or 7755 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 336415072 is about 18341.6213023822. The cubic root of 336415072 is about 695.4914812839.

The spelling of 336415072 in words is "three hundred thirty-six million, four hundred fifteen thousand, seventy-two".