349178544 has 240 divisors, whose sum is σ = 1187257344. Its totient is φ = 94348800.

The previous prime is 349178539. The next prime is 349178551. The reversal of 349178544 is 445871943.

349178544 is a `hidden beast` number, since 34 + 9 + 1 + 78 + 544 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 349178544.

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, 638079 + ... + 638625.

Almost surely, 2^349178544 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 349178544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593628672).

349178544 is an abundant number, since it is smaller than the sum of its proper divisors (838078800).

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

349178544 is a wasteful number, since it uses less digits than its factorization.

349178544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 607 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 349178544 is about 18686.3197018568. The cubic root of 349178544 is about 704.1781036124.

The spelling of 349178544 in words is "three hundred forty-nine million, one hundred seventy-eight thousand, five hundred forty-four".