348508020 has 96 divisors (see below), whose sum is σ = 1122912000. Its totient is φ = 79110144.

The previous prime is 348508009. The next prime is 348508031. The reversal of 348508020 is 20805843.

It is an interprime number because it is at equal distance from previous prime (348508009) and next prime (348508031).

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

It is a congruent number.

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, 59796 + ... + 65364.

It is an arithmetic number, because the mean of its divisors is an integer number (11697000).

Almost surely, 2^348508020 is an apocalyptic number.

348508020 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 348508020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561456000).

348508020 is an abundant number, since it is smaller than the sum of its proper divisors (774403980).

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

348508020 is a wasteful number, since it uses less digits than its factorization.

348508020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5737 (or 5735 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 348508020 is about 18668.3695056639. The cubic root of 348508020 is about 703.7270727734.

The spelling of 348508020 in words is "three hundred forty-eight million, five hundred eight thousand, twenty".