348407521920 has 768 divisors, whose sum is σ = 1306973491200. Its totient is φ = 85310668800.

The previous prime is 348407521901. The next prime is 348407521927. The reversal of 348407521920 is 29125704843.

348407521920 is a `hidden beast` number, since 3 + 4 + 8 + 407 + 5 + 219 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (348407521927) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 315872089 + ... + 315873191.

It is an arithmetic number, because the mean of its divisors is an integer number (1701788400).

Almost surely, 2^348407521920 is an apocalyptic number.

348407521920 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 348407521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653486745600).

348407521920 is an abundant number, since it is smaller than the sum of its proper divisors (958565969280).

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

348407521920 is a wasteful number, since it uses less digits than its factorization.

348407521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 348407521920 in words is "three hundred forty-eight billion, four hundred seven million, five hundred twenty-one thousand, nine hundred twenty".