349040640 has 416 divisors, whose sum is σ = 1321044480. Its totient is φ = 77856768.

The previous prime is 349040633. The next prime is 349040689. The reversal of 349040640 is 46040943.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 349040598 and 349040607.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 15175669 + ... + 15175691.

Almost surely, 2^349040640 is an apocalyptic number.

349040640 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 349040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660522240).

349040640 is an abundant number, since it is smaller than the sum of its proper divisors (972003840).

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

349040640 is a wasteful number, since it uses less digits than its factorization.

349040640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 349040640 is about 18682.6293652687. The cubic root of 349040640 is about 704.0853890917.

The spelling of 349040640 in words is "three hundred forty-nine million, forty thousand, six hundred forty".