349879680 has 384 divisors, whose sum is σ = 1336608000. Its totient is φ = 83939328.

The previous prime is 349879637. The next prime is 349879687. The reversal of 349879680 is 86978943.

349879680 is a `hidden beast` number, since 3 + 498 + 79 + 6 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349879687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2517051 + ... + 2517189.

It is an arithmetic number, because the mean of its divisors is an integer number (3480750).

Almost surely, 2^349879680 is an apocalyptic number.

349879680 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 349879680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668304000).

349879680 is an abundant number, since it is smaller than the sum of its proper divisors (986728320).

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

349879680 is a wasteful number, since it uses less digits than its factorization.

349879680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 349879680 is about 18705.0709701942. The cubic root of 349879680 is about 704.6491086192.

The spelling of 349879680 in words is "three hundred forty-nine million, eight hundred seventy-nine thousand, six hundred eighty".