347001408 has 280 divisors, whose sum is σ = 1170350720. Its totient is φ = 100776960.

The previous prime is 347001401. The next prime is 347001461. The reversal of 347001408 is 804100743.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (347001401) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1280313 + ... + 1280583.

It is an arithmetic number, because the mean of its divisors is an integer number (4179824).

Almost surely, 2^347001408 is an apocalyptic number.

347001408 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 347001408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (585175360).

347001408 is an abundant number, since it is smaller than the sum of its proper divisors (823349312).

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

347001408 is a wasteful number, since it uses less digits than its factorization.

347001408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 347001408 is about 18627.9738028590. The cubic root of 347001408 is about 702.7115292807.

The spelling of 347001408 in words is "three hundred forty-seven million, one thousand, four hundred eight".