350027415072 has 480 divisors, whose sum is σ = 1093215771648. Its totient is φ = 109646659584.

The previous prime is 350027415061. The next prime is 350027415091. The reversal of 350027415072 is 270514720053.

350027415072 is a `hidden beast` number, since 3 + 500 + 2 + 74 + 15 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1502263468 + ... + 1502263700.

Almost surely, 2^350027415072 is an apocalyptic number.

350027415072 is a gapful number since it is divisible by the number (32) 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 350027415072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546607885824).

350027415072 is an abundant number, since it is smaller than the sum of its proper divisors (743188356576).

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

350027415072 is a wasteful number, since it uses less digits than its factorization.

350027415072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The spelling of 350027415072 in words is "three hundred fifty billion, twenty-seven million, four hundred fifteen thousand, seventy-two".