338647680 has 384 divisors, whose sum is σ = 1378615680. Its totient is φ = 74981376.

The previous prime is 338647649. The next prime is 338647711. The reversal of 338647680 is 86746833.

It is an interprime number because it is at equal distance from previous prime (338647649) and next prime (338647711).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338647680² = 229364502338764800, which contains 22 as substring.

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

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, 1491727 + ... + 1491953.

It is an arithmetic number, because the mean of its divisors is an integer number (3590145).

Almost surely, 2^338647680 is an apocalyptic number.

338647680 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 338647680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689307840).

338647680 is an abundant number, since it is smaller than the sum of its proper divisors (1039968000).

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

338647680 is a wasteful number, since it uses less digits than its factorization.

338647680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 338647680 is about 18402.3824544541. The cubic root of 338647680 is about 697.0266260455.

The spelling of 338647680 in words is "three hundred thirty-eight million, six hundred forty-seven thousand, six hundred eighty".