347606651328 has 448 divisors, whose sum is σ = 1014562644480. Its totient is φ = 104664268800.

The previous prime is 347606651321. The next prime is 347606651333. The reversal of 347606651328 is 823156606743.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347606651321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2214055026 + ... + 2214055182.

It is an arithmetic number, because the mean of its divisors is an integer number (2264648760).

Almost surely, 2^347606651328 is an apocalyptic number.

347606651328 is a gapful number since it is divisible by the number (38) 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 347606651328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507281322240).

347606651328 is an abundant number, since it is smaller than the sum of its proper divisors (666955993152).

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

347606651328 is a wasteful number, since it uses less digits than its factorization.

347606651328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 476 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 51.

The spelling of 347606651328 in words is "three hundred forty-seven billion, six hundred six million, six hundred fifty-one thousand, three hundred twenty-eight".