350775774720 has 2400 divisors, whose sum is σ = 1625617382400. Its totient is φ = 71735279616.

The previous prime is 350775774707. The next prime is 350775774721. The reversal of 350775774720 is 27477577053.

350775774720 is a `hidden beast` number, since 3 + 5 + 0 + 7 + 7 + 577 + 47 + 20 = 666.

350775774720 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 (350775774721) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4440199641 + ... + 4440199719.

It is an arithmetic number, because the mean of its divisors is an integer number (677340576).

Almost surely, 2^350775774720 is an apocalyptic number.

350775774720 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 350775774720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (812808691200).

350775774720 is an abundant number, since it is smaller than the sum of its proper divisors (1274841607680).

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

350775774720 is a wasteful number, since it uses less digits than its factorization.

350775774720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 10084200, while the sum is 54.

The spelling of 350775774720 in words is "three hundred fifty billion, seven hundred seventy-five million, seven hundred seventy-four thousand, seven hundred twenty".