348025380120 has 384 divisors, whose sum is σ = 1242602000640. Its totient is φ = 83778001920.

The previous prime is 348025380103. The next prime is 348025380169. The reversal of 348025380120 is 21083520843.

348025380120 is a `hidden beast` number, since 3 + 480 + 2 + 53 + 8 + 0 + 120 = 666.

It is a super-3 number, since 3×348025380120³ (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 95 ways as a sum of consecutive naturals, for example, 567740934 + ... + 567741546.

It is an arithmetic number, because the mean of its divisors is an integer number (3235942710).

Almost surely, 2^348025380120 is an apocalyptic number.

348025380120 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 348025380120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621301000320).

348025380120 is an abundant number, since it is smaller than the sum of its proper divisors (894576620520).

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

348025380120 is a wasteful number, since it uses less digits than its factorization.

348025380120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1415 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 348025380120 in words is "three hundred forty-eight billion, twenty-five million, three hundred eighty thousand, one hundred twenty".