350378047872 has 320 divisors, whose sum is σ = 1099672200000. Its totient is φ = 110436867072.

The previous prime is 350378047871. The next prime is 350378047889. The reversal of 350378047872 is 278740873053.

It is a happy number.

350378047872 is a `hidden beast` number, since 35 + 0 + 3 + 78 + 0 + 478 + 72 = 666.

It is a super-4 number, since 4×350378047872⁴ (a number of 47 digits) contains 4444 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350378047871) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 129816379 + ... + 129819077.

It is an arithmetic number, because the mean of its divisors is an integer number (3436475625).

Almost surely, 2^350378047872 is an apocalyptic number.

350378047872 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 350378047872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (549836100000).

350378047872 is an abundant number, since it is smaller than the sum of its proper divisors (749294152128).

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

350378047872 is a wasteful number, since it uses less digits than its factorization.

350378047872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 7902720, while the sum is 54.

The spelling of 350378047872 in words is "three hundred fifty billion, three hundred seventy-eight million, forty-seven thousand, eight hundred seventy-two".