338131530 has 256 divisors, whose sum is σ = 1075576320. Its totient is φ = 74649600.

The previous prime is 338131523. The next prime is 338131571. The reversal of 338131530 is 35131833.

It is a super-2 number, since 2×338131530² = 228665863160281800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 338131494 and 338131503.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1868040 + ... + 1868220.

It is an arithmetic number, because the mean of its divisors is an integer number (4201470).

Almost surely, 2^338131530 is an apocalyptic number.

338131530 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 338131530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537788160).

338131530 is an abundant number, since it is smaller than the sum of its proper divisors (737444790).

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

338131530 is a wasteful number, since it uses less digits than its factorization.

338131530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 338131530 is about 18388.3531073340. The cubic root of 338131530 is about 696.6723215076.

The spelling of 338131530 in words is "three hundred thirty-eight million, one hundred thirty-one thousand, five hundred thirty".