347779740672 has 1320 divisors, whose sum is σ = 1343049473280. Its totient is φ = 88763351040.

The previous prime is 347779740589. The next prime is 347779740677. The reversal of 347779740672 is 276047977743.

347779740672 is a `hidden beast` number, since 3 + 4 + 7 + 77 + 97 + 406 + 72 = 666.

It is a super-3 number, since 3×347779740672³ (a number of 36 digits) contains 333 as substring.

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 (347779740677) 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, 11218701297 + ... + 11218701327.

Almost surely, 2^347779740672 is an apocalyptic number.

347779740672 is a gapful number since it is divisible by the number (32) 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 347779740672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671524736640).

347779740672 is an abundant number, since it is smaller than the sum of its proper divisors (995269732608).

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

347779740672 is an equidigital number, since it uses as much as digits as its factorization.

347779740672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 56 counting only the distinct ones).

The product of its (nonzero) digits is 87127488, while the sum is 63.

The spelling of 347779740672 in words is "three hundred forty-seven billion, seven hundred seventy-nine million, seven hundred forty thousand, six hundred seventy-two".