350956761120 has 2880 divisors, whose sum is σ = 1689378768000. Its totient is φ = 67889332224.

The previous prime is 350956761107. The next prime is 350956761121. The reversal of 350956761120 is 21167659053.

350956761120 is a `hidden beast` number, since 3 + 5 + 0 + 9 + 5 + 6 + 7 + 611 + 20 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (350956761121) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 5948419651 + ... + 5948419709.

It is an arithmetic number, because the mean of its divisors is an integer number (586589850).

Almost surely, 2^350956761120 is an apocalyptic number.

350956761120 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 350956761120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (844689384000).

350956761120 is an abundant number, since it is smaller than the sum of its proper divisors (1338422006880).

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

350956761120 is a wasteful number, since it uses less digits than its factorization.

350956761120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 350956761120 in words is "three hundred fifty billion, nine hundred fifty-six million, seven hundred sixty-one thousand, one hundred twenty".