338061600 has 432 divisors, whose sum is σ = 1296667008. Its totient is φ = 85847040.

The previous prime is 338061593. The next prime is 338061631. The reversal of 338061600 is 6160833.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×338061600² = 228571290789120000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7192777 + ... + 7192823.

It is an arithmetic number, because the mean of its divisors is an integer number (3001544).

Almost surely, 2^338061600 is an apocalyptic number.

338061600 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 338061600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (648333504).

338061600 is an abundant number, since it is smaller than the sum of its proper divisors (958605408).

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

338061600 is a wasteful number, since it uses less digits than its factorization.

338061600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 338061600 is about 18386.4515336701. The cubic root of 338061600 is about 696.6242912294.

It can be divided in two parts, 3380 and 61600, that added together give a triangular number (64980 = T₃₆₀).

The spelling of 338061600 in words is "three hundred thirty-eight million, sixty-one thousand, six hundred".