349957440 has 168 divisors, whose sum is σ = 1375745280. Its totient is φ = 79985664.

The previous prime is 349957417. The next prime is 349957457. The reversal of 349957440 is 44759943.

It is a happy number.

349957440 is a `hidden beast` number, since 34 + 9 + 9 + 574 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×349957440² = 244940419622707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11481 + ... + 28839.

It is an arithmetic number, because the mean of its divisors is an integer number (8188960).

Almost surely, 2^349957440 is an apocalyptic number.

349957440 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 349957440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (687872640).

349957440 is an abundant number, since it is smaller than the sum of its proper divisors (1025787840).

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

349957440 is a wasteful number, since it uses less digits than its factorization.

349957440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17389 (or 17376 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 349957440 is about 18707.1494354431. The cubic root of 349957440 is about 704.7013069977.

The spelling of 349957440 in words is "three hundred forty-nine million, nine hundred fifty-seven thousand, four hundred forty".