349025283360 has 576 divisors, whose sum is σ = 1341673901568. Its totient is φ = 81979932672.

The previous prime is 349025283311. The next prime is 349025283403. The reversal of 349025283360 is 63382520943.

349025283360 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 2 + 5 + 283 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 255321397 + ... + 255322763.

It is an arithmetic number, because the mean of its divisors is an integer number (2329294968).

Almost surely, 2^349025283360 is an apocalyptic number.

349025283360 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 349025283360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (670836950784).

349025283360 is an abundant number, since it is smaller than the sum of its proper divisors (992648618208).

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

349025283360 is a wasteful number, since it uses less digits than its factorization.

349025283360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2006 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 349025283360 in words is "three hundred forty-nine billion, twenty-five million, two hundred eighty-three thousand, three hundred sixty".