348900480 has 256 divisors, whose sum is σ = 1259740800. Its totient is φ = 91238400.

The previous prime is 348900467. The next prime is 348900493. The reversal of 348900480 is 84009843.

It is an interprime number because it is at equal distance from previous prime (348900467) and next prime (348900493).

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

It is a zygodrome in base 3.

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, 1053915 + ... + 1054245.

Almost surely, 2^348900480 is an apocalyptic number.

348900480 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 348900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629870400).

348900480 is an abundant number, since it is smaller than the sum of its proper divisors (910840320).

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

348900480 is a wasteful number, since it uses less digits than its factorization.

348900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 348900480 is about 18678.8779106241. The cubic root of 348900480 is about 703.9911328084.

The spelling of 348900480 in words is "three hundred forty-eight million, nine hundred thousand, four hundred eighty".