349777974 has 144 divisors (see below), whose sum is σ = 921421872. Its totient is φ = 87728256.

The previous prime is 349777957. The next prime is 349777979. The reversal of 349777974 is 479777943.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349777979) 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 71 ways as a sum of consecutive naturals, for example, 2021752 + ... + 2021924.

It is an arithmetic number, because the mean of its divisors is an integer number (6398763).

Almost surely, 2^349777974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349777974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460710936).

349777974 is an abundant number, since it is smaller than the sum of its proper divisors (571643898).

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

349777974 is a wasteful number, since it uses less digits than its factorization.

349777974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 221 counting only the distinct ones).

The product of its digits is 9335088, while the sum is 57.

The square root of 349777974 is about 18702.3520980651. The cubic root of 349777974 is about 704.5808242043.

The spelling of 349777974 in words is "three hundred forty-nine million, seven hundred seventy-seven thousand, nine hundred seventy-four".