348806712996 has 288 divisors, whose sum is σ = 1065744010240. Its totient is φ = 97690665600.

The previous prime is 348806712979. The next prime is 348806713019. The reversal of 348806712996 is 699217608843.

348806712996 is a `hidden beast` number, since 3 + 488 + 0 + 67 + 1 + 2 + 9 + 96 = 666.

It is a super-2 number, since 2×348806712996² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 137378295 + ... + 137380833.

Almost surely, 2^348806712996 is an apocalyptic number.

348806712996 is a gapful number since it is divisible by the number (36) 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 348806712996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (532872005120).

348806712996 is an abundant number, since it is smaller than the sum of its proper divisors (716937297244).

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

348806712996 is a wasteful number, since it uses less digits than its factorization.

348806712996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2957 (or 2943 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 348806712996 in words is "three hundred forty-eight billion, eight hundred six million, seven hundred twelve thousand, nine hundred ninety-six".