349000900740 has 144 divisors (see below), whose sum is σ = 1115259600000. Its totient is φ = 88096978944.

The previous prime is 349000900723. The next prime is 349000900741. The reversal of 349000900740 is 47009000943.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 349000900695 and 349000900704.

It is not an unprimeable number, because it can be changed into a prime (349000900741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4230729 + ... + 4312431.

Almost surely, 2^349000900740 is an apocalyptic number.

349000900740 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 349000900740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557629800000).

349000900740 is an abundant number, since it is smaller than the sum of its proper divisors (766258699260).

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

349000900740 is a wasteful number, since it uses less digits than its factorization.

349000900740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82986 (or 82981 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 349000900740 in words is "three hundred forty-nine billion, nine hundred thousand, seven hundred forty".