349532149632 has 256 divisors, whose sum is σ = 1028882649600. Its totient is φ = 104639496192.

The previous prime is 349532149619. The next prime is 349532149661. The reversal of 349532149632 is 236941235943.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18953088 + ... + 18971520.

It is an arithmetic number, because the mean of its divisors is an integer number (4019072850).

Almost surely, 2^349532149632 is an apocalyptic number.

349532149632 is a gapful number since it is divisible by the number (32) 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 349532149632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514441324800).

349532149632 is an abundant number, since it is smaller than the sum of its proper divisors (679350499968).

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

349532149632 is a wasteful number, since it uses less digits than its factorization.

349532149632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18605 (or 18593 counting only the distinct ones).

The product of its digits is 4199040, while the sum is 51.

The spelling of 349532149632 in words is "three hundred forty-nine billion, five hundred thirty-two million, one hundred forty-nine thousand, six hundred thirty-two".