336225120 has 288 divisors, whose sum is σ = 1332059904. Its totient is φ = 69780480.

The previous prime is 336225103. The next prime is 336225139. The reversal of 336225120 is 21522633.

It is a super-2 number, since 2×336225120² = 226094662638028800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 406147 + ... + 406973.

It is an arithmetic number, because the mean of its divisors is an integer number (4625208).

Almost surely, 2^336225120 is an apocalyptic number.

336225120 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 336225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666029952).

336225120 is an abundant number, since it is smaller than the sum of its proper divisors (995834784).

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

336225120 is a wasteful number, since it uses less digits than its factorization.

336225120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 336225120 is about 18336.4424030399. The cubic root of 336225120 is about 695.3605568384.

Adding to 336225120 its reverse (21522633), we get a palindrome (357747753).

It can be divided in two parts, 3362 and 25120, that added together give a palindrome (28482).

The spelling of 336225120 in words is "three hundred thirty-six million, two hundred twenty-five thousand, one hundred twenty".