349450609536 has 768 divisors, whose sum is σ = 1328588352000. Its totient is φ = 89006211072.

The previous prime is 349450609471. The next prime is 349450609567. The reversal of 349450609536 is 635906054943.

349450609536 is a `hidden beast` number, since 3 + 4 + 9 + 45 + 0 + 60 + 9 + 536 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70323660 + ... + 70328628.

It is an arithmetic number, because the mean of its divisors is an integer number (1729932750).

Almost surely, 2^349450609536 is an apocalyptic number.

349450609536 is a gapful number since it is divisible by the number (36) 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 349450609536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664294176000).

349450609536 is an abundant number, since it is smaller than the sum of its proper divisors (979137742464).

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

349450609536 is a wasteful number, since it uses less digits than its factorization.

349450609536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5017 counting only the distinct ones).

The product of its (nonzero) digits is 10497600, while the sum is 54.

The spelling of 349450609536 in words is "three hundred forty-nine billion, four hundred fifty million, six hundred nine thousand, five hundred thirty-six".