349898037552 has 320 divisors, whose sum is σ = 1178396482560. Its totient is φ = 97322674176.

The previous prime is 349898037527. The next prime is 349898037569. The reversal of 349898037552 is 255730898943.

349898037552 is a `hidden beast` number, since 3 + 49 + 8 + 9 + 8 + 0 + 37 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 349898037552.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40695718 + ... + 40704314.

It is an arithmetic number, because the mean of its divisors is an integer number (3682489008).

Almost surely, 2^349898037552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 349898037552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589198241280).

349898037552 is an abundant number, since it is smaller than the sum of its proper divisors (828498445008).

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

349898037552 is a wasteful number, since it uses less digits than its factorization.

349898037552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8977 (or 8965 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 349898037552 in words is "three hundred forty-nine billion, eight hundred ninety-eight million, thirty-seven thousand, five hundred fifty-two".