347977728 has 384 divisors, whose sum is σ = 1257984000. Its totient is φ = 92897280.

The previous prime is 347977727. The next prime is 347977739. The reversal of 347977728 is 827779743.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

Its product of digits (4148928) is a multiple of the sum of its prime divisors (72).

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (347977727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11225073 + ... + 11225103.

It is an arithmetic number, because the mean of its divisors is an integer number (3276000).

Almost surely, 2^347977728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 347977728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628992000).

347977728 is an abundant number, since it is smaller than the sum of its proper divisors (910006272).

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

347977728 is a wasteful number, since it uses less digits than its factorization.

347977728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 72 counting only the distinct ones).

The product of its digits is 4148928, while the sum is 54.

The square root of 347977728 is about 18654.1611443667. The cubic root of 347977728 is about 703.3699597337.

The spelling of 347977728 in words is "three hundred forty-seven million, nine hundred seventy-seven thousand, seven hundred twenty-eight".