338991840 has 144 divisors (see below), whose sum is σ = 1262033136. Its totient is φ = 82176000.

The previous prime is 338991839. The next prime is 338991847. The reversal of 338991840 is 48199833.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×338991840² = 229830935173171200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338991847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5140 + ... + 26540.

It is an arithmetic number, because the mean of its divisors is an integer number (8764119).

Almost surely, 2^338991840 is an apocalyptic number.

338991840 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 338991840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631016568).

338991840 is an abundant number, since it is smaller than the sum of its proper divisors (923041296).

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

338991840 is a wasteful number, since it uses less digits than its factorization.

338991840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21433 (or 21422 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 338991840 is about 18411.7310430062. The cubic root of 338991840 is about 697.2626702483.

The spelling of 338991840 in words is "three hundred thirty-eight million, nine hundred ninety-one thousand, eight hundred forty".