347713920 has 384 divisors, whose sum is σ = 1314649440. Its totient is φ = 84344832.

The previous prime is 347713913. The next prime is 347713939. The reversal of 347713920 is 29317743.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5189727 + ... + 5189793.

Almost surely, 2^347713920 is an apocalyptic number.

347713920 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 347713920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657324720).

347713920 is an abundant number, since it is smaller than the sum of its proper divisors (966935520).

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

347713920 is a wasteful number, since it uses less digits than its factorization.

347713920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The square root of 347713920 is about 18647.0887808258. The cubic root of 347713920 is about 703.1921691091.

The spelling of 347713920 in words is "three hundred forty-seven million, seven hundred thirteen thousand, nine hundred twenty".