348146820 has 144 divisors (see below), whose sum is σ = 1221816960. Its totient is φ = 78594048.

The previous prime is 348146819. The next prime is 348146839. The reversal of 348146820 is 28641843.

It is a super-2 number, since 2×348146820² = 242412416552224800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 102916 + ... + 106244.

It is an arithmetic number, because the mean of its divisors is an integer number (8484840).

Almost surely, 2^348146820 is an apocalyptic number.

348146820 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 348146820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610908480).

348146820 is an abundant number, since it is smaller than the sum of its proper divisors (873670140).

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

348146820 is a wasteful number, since it uses less digits than its factorization.

348146820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3429 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 348146820 is about 18658.6928802636. The cubic root of 348146820 is about 703.4838702557.

The spelling of 348146820 in words is "three hundred forty-eight million, one hundred forty-six thousand, eight hundred twenty".