350367942960 has 400 divisors, whose sum is σ = 1410320305152. Its totient is φ = 78955430400.

The previous prime is 350367942923. The next prime is 350367942989. The reversal of 350367942960 is 69249763053.

350367942960 is a `hidden beast` number, since 3 + 503 + 6 + 7 + 9 + 42 + 96 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 350367942897 and 350367942906.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3166165 + ... + 3274955.

Almost surely, 2^350367942960 is an apocalyptic number.

350367942960 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 350367942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (705160152576).

350367942960 is an abundant number, since it is smaller than the sum of its proper divisors (1059952362192).

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

350367942960 is a wasteful number, since it uses less digits than its factorization.

350367942960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108894 (or 108879 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 54.

The spelling of 350367942960 in words is "three hundred fifty billion, three hundred sixty-seven million, nine hundred forty-two thousand, nine hundred sixty".