349622220510 has 192 divisors, whose sum is σ = 961701092352. Its totient is φ = 91356460416.

The previous prime is 349622220509. The next prime is 349622220527. The reversal of 349622220510 is 15022226943.

349622220510 is a `hidden beast` number, since 3 + 4 + 9 + 622 + 2 + 20 + 5 + 1 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 152872587 + ... + 152874873.

It is an arithmetic number, because the mean of its divisors is an integer number (5008859856).

Almost surely, 2^349622220510 is an apocalyptic number.

349622220510 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 349622220510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480850546176).

349622220510 is an abundant number, since it is smaller than the sum of its proper divisors (612078871842).

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

349622220510 is a wasteful number, since it uses less digits than its factorization.

349622220510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3549 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 349622220510 in words is "three hundred forty-nine billion, six hundred twenty-two million, two hundred twenty thousand, five hundred ten".