349785744 has 320 divisors, whose sum is σ = 1259919360. Its totient is φ = 80732160.

The previous prime is 349785739. The next prime is 349785757. The reversal of 349785744 is 447587943.

It is a super-3 number, since 3×349785744³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193662 + ... + 1193954.

It is an arithmetic number, because the mean of its divisors is an integer number (3937248).

Almost surely, 2^349785744 is an apocalyptic number.

349785744 is a gapful number since it is divisible by the number (34) 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 349785744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629959680).

349785744 is an abundant number, since it is smaller than the sum of its proper divisors (910133616).

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

349785744 is a wasteful number, since it uses less digits than its factorization.

349785744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 352 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 51.

The square root of 349785744 is about 18702.5598247940. The cubic root of 349785744 is about 704.5860413734.

The spelling of 349785744 in words is "three hundred forty-nine million, seven hundred eighty-five thousand, seven hundred forty-four".