336345480 has 128 divisors (see below), whose sum is σ = 1159920000. Its totient is φ = 86591232.

The previous prime is 336345439. The next prime is 336345487. The reversal of 336345480 is 84543633.

It is a super-2 number, since 2×336345480² = 226256563832860800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (336345487) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25951 + ... + 36689.

It is an arithmetic number, because the mean of its divisors is an integer number (9061875).

Almost surely, 2^336345480 is an apocalyptic number.

336345480 is a gapful number since it is divisible by the number (30) 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 336345480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579960000).

336345480 is an abundant number, since it is smaller than the sum of its proper divisors (823574520).

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

336345480 is a wasteful number, since it uses less digits than its factorization.

336345480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10788 (or 10778 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 336345480 is about 18339.7240982519. The cubic root of 336345480 is about 695.4435207088.

The spelling of 336345480 in words is "three hundred thirty-six million, three hundred forty-five thousand, four hundred eighty".