350061336576 has 1152 divisors, whose sum is σ = 1329072675840. Its totient is φ = 89690996736.

The previous prime is 350061336557. The next prime is 350061336613. The reversal of 350061336576 is 675633160053.

350061336576 is a `hidden beast` number, since 3 + 500 + 6 + 13 + 3 + 65 + 76 = 666.

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

It is a congruent number.

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, 1362106240 + ... + 1362106496.

It is an arithmetic number, because the mean of its divisors is an integer number (1153708920).

Almost surely, 2^350061336576 is an apocalyptic number.

350061336576 is a gapful number since it is divisible by the number (36) 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 350061336576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664536337920).

350061336576 is an abundant number, since it is smaller than the sum of its proper divisors (979011339264).

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

350061336576 is a wasteful number, since it uses less digits than its factorization.

350061336576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 350061336576 in words is "three hundred fifty billion, sixty-one million, three hundred thirty-six thousand, five hundred seventy-six".