350693885871840 has 288 divisors, whose sum is σ = 1273769565659136. Its totient is φ = 79449224601600.

The previous prime is 350693885871829. The next prime is 350693885871841. The reversal of 350693885871840 is 48178588396053.

It is a super-2 number, since 2×350693885871840² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350693885871841) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38816865 + ... + 46990815.

It is an arithmetic number, because the mean of its divisors is an integer number (4422810991872).

Almost surely, 2^{350693885871840} is an apocalyptic number.

350693885871840 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 350693885871840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636884782829568).

350693885871840 is an abundant number, since it is smaller than the sum of its proper divisors (923075679787296).

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

350693885871840 is a wasteful number, since it uses less digits than its factorization.

350693885871840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8174202 (or 8174081 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 75.

The spelling of 350693885871840 in words is "three hundred fifty trillion, six hundred ninety-three billion, eight hundred eighty-five million, eight hundred seventy-one thousand, eight hundred forty".