349415424 has 192 divisors, whose sum is σ = 1061424000. Its totient is φ = 113541120.

The previous prime is 349415393. The next prime is 349415431. The reversal of 349415424 is 424514943.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×349415424² = 244182277058199552, which contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 3925972 + ... + 3926060.

It is an arithmetic number, because the mean of its divisors is an integer number (5528250).

Almost surely, 2^349415424 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 349415424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530712000).

349415424 is an abundant number, since it is smaller than the sum of its proper divisors (712008576).

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

349415424 is an equidigital number, since it uses as much as digits as its factorization.

349415424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 165 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 349415424 is about 18692.6569540020. The cubic root of 349415424 is about 704.3373039282.

The spelling of 349415424 in words is "three hundred forty-nine million, four hundred fifteen thousand, four hundred twenty-four".