349529775903360 has 1152 divisors, whose sum is σ = 1356293785392000. Its totient is φ = 85509104246784.

The previous prime is 349529775903337. The next prime is 349529775903421. The reversal of 349529775903360 is 63309577925943.

349529775903360 is a `hidden beast` number, since 3 + 4 + 9 + 5 + 29 + 7 + 7 + 590 + 3 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56384861541 + ... + 56384867739.

It is an arithmetic number, because the mean of its divisors is an integer number (1177338355375).

Almost surely, 2^{349529775903360} is an apocalyptic number.

349529775903360 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 349529775903360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678146892696000).

349529775903360 is an abundant number, since it is smaller than the sum of its proper divisors (1006764009488640).

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

349529775903360 is an equidigital number, since it uses as much as digits as its factorization.

349529775903360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6580 (or 6389 counting only the distinct ones).

The product of its (nonzero) digits is 1157360400, while the sum is 72.

The spelling of 349529775903360 in words is "three hundred forty-nine trillion, five hundred twenty-nine billion, seven hundred seventy-five million, nine hundred three thousand, three hundred sixty".