348574980096 has 1440 divisors, whose sum is σ = 1330820290800. Its totient is φ = 90296156160.

The previous prime is 348574980079. The next prime is 348574980097. The reversal of 348574980096 is 690089475843.

348574980096 is a `hidden beast` number, since 3 + 4 + 8 + 57 + 498 + 0 + 0 + 96 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (348574980097) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5714343906 + ... + 5714343966.

Almost surely, 2^348574980096 is an apocalyptic number.

348574980096 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 348574980096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665410145400).

348574980096 is an abundant number, since it is smaller than the sum of its proper divisors (982245310704).

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

348574980096 is a wasteful number, since it uses less digits than its factorization.

348574980096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 348574980096 in words is "three hundred forty-eight billion, five hundred seventy-four million, nine hundred eighty thousand, ninety-six".