347949026880 has 896 divisors, whose sum is σ = 1429125562368. Its totient is φ = 69711003648.

The previous prime is 347949026813. The next prime is 347949026897. The reversal of 347949026880 is 88620949743.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 315456409 + ... + 315457511.

It is an arithmetic number, because the mean of its divisors is an integer number (1595006208).

Almost surely, 2^347949026880 is an apocalyptic number.

347949026880 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 347949026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714562781184).

347949026880 is an abundant number, since it is smaller than the sum of its proper divisors (1081176535488).

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

347949026880 is a wasteful number, since it uses less digits than its factorization.

347949026880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1323 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 60.

The spelling of 347949026880 in words is "three hundred forty-seven billion, nine hundred forty-nine million, twenty-six thousand, eight hundred eighty".