348384000 has 288 divisors, whose sum is σ = 1224437760. Its totient is φ = 87552000.

The previous prime is 348383977. The next prime is 348384017. The reversal of 348384000 is 483843.

It is a super-2 number, since 2×348384000² = 242742822912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1823905 + ... + 1824095.

It is an arithmetic number, because the mean of its divisors is an integer number (4251520).

Almost surely, 2^348384000 is an apocalyptic number.

348384000 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 348384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612218880).

348384000 is an abundant number, since it is smaller than the sum of its proper divisors (876053760).

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

348384000 is a wasteful number, since it uses less digits than its factorization.

348384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 348384000 is about 18665.0475488277. The cubic root of 348384000 is about 703.6435868072.

The spelling of 348384000 in words is "three hundred forty-eight million, three hundred eighty-four thousand".