349761888 has 240 divisors, whose sum is σ = 1209678624. Its totient is φ = 97044480.

The previous prime is 349761887. The next prime is 349761911. The reversal of 349761888 is 888167943.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349761887) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 671068 + ... + 671588.

Almost surely, 2^349761888 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 349761888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604839312).

349761888 is an abundant number, since it is smaller than the sum of its proper divisors (859916736).

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

349761888 is a wasteful number, since it uses less digits than its factorization.

349761888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587 (or 570 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 349761888 is about 18701.9220402610. The cubic root of 349761888 is about 704.5700230088.

It can be divided in two parts, 34976 and 1888, that added together give a square (36864 = 192²).

The spelling of 349761888 in words is "three hundred forty-nine million, seven hundred sixty-one thousand, eight hundred eighty-eight".