348504985920 has 1344 divisors, whose sum is σ = 1490755829760. Its totient is φ = 67284172800.

The previous prime is 348504985877. The next prime is 348504985921. The reversal of 348504985920 is 29589405843.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×348504985920² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348504985921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 668915260 + ... + 668915780.

Almost surely, 2^348504985920 is an apocalyptic number.

348504985920 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 348504985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745377914880).

348504985920 is an abundant number, since it is smaller than the sum of its proper divisors (1142250843840).

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

348504985920 is a wasteful number, since it uses less digits than its factorization.

348504985920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 348504985920 in words is "three hundred forty-eight billion, five hundred four million, nine hundred eighty-five thousand, nine hundred twenty".