338953140 has 96 divisors (see below), whose sum is σ = 1116581760. Its totient is φ = 85068288.

The previous prime is 338953129. The next prime is 338953151. The reversal of 338953140 is 41359833.

338953140 is a `hidden beast` number, since 3 + 3 + 89 + 531 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (338953129) and next prime (338953151).

It is a super-2 number, since 2×338953140² = 229778462231719200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 338953095 and 338953104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9282 + ... + 27641.

It is an arithmetic number, because the mean of its divisors is an integer number (11631060).

Almost surely, 2^338953140 is an apocalyptic number.

338953140 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

338953140 is an abundant number, since it is smaller than the sum of its proper divisors (777628620).

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

338953140 is a wasteful number, since it uses less digits than its factorization.

338953140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36958 (or 36950 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 338953140 is about 18410.6800526216. The cubic root of 338953140 is about 697.2361355956.

The spelling of 338953140 in words is "three hundred thirty-eight million, nine hundred fifty-three thousand, one hundred forty".