348153064 has 128 divisors (see below), whose sum is σ = 836075520. Its totient is φ = 132480000.

The previous prime is 348153061. The next prime is 348153073. The reversal of 348153064 is 460351843.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (348153061) by changing a digit.

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, 1386939 + ... + 1387189.

It is an arithmetic number, because the mean of its divisors is an integer number (6531840).

Almost surely, 2^348153064 is an apocalyptic number.

348153064 is a gapful number since it is divisible by the number (34) 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 348153064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418037760).

348153064 is an abundant number, since it is smaller than the sum of its proper divisors (487922456).

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

348153064 is a wasteful number, since it uses less digits than its factorization.

348153064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 348153064 is about 18658.8602009876. The cubic root of 348153064 is about 703.4880758828.

The spelling of 348153064 in words is "three hundred forty-eight million, one hundred fifty-three thousand, sixty-four".