347854749696 has 480 divisors, whose sum is σ = 1087130419200. Its totient is φ = 109713162240.

The previous prime is 347854749653. The next prime is 347854749743. The reversal of 347854749696 is 696947458743.

It is a happy number.

347854749696 is a `hidden beast` number, since 3 + 4 + 7 + 8 + 5 + 47 + 496 + 96 = 666.

It is a super-3 number, since 3×347854749696³ (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an alternating number because its digits alternate between odd and even.

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 31 ways as a sum of consecutive naturals, for example, 1821228961 + ... + 1821229151.

It is an arithmetic number, because the mean of its divisors is an integer number (2264855040).

Almost surely, 2^347854749696 is an apocalyptic number.

347854749696 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 347854749696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543565209600).

347854749696 is an abundant number, since it is smaller than the sum of its proper divisors (739275669504).

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

347854749696 is a wasteful number, since it uses less digits than its factorization.

347854749696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 398 counting only the distinct ones).

The product of its digits is 1097349120, while the sum is 72.

The spelling of 347854749696 in words is "three hundred forty-seven billion, eight hundred fifty-four million, seven hundred forty-nine thousand, six hundred ninety-six".