350816474736 has 640 divisors, whose sum is σ = 1261179279360. Its totient is φ = 90909278208.

The previous prime is 350816474707. The next prime is 350816474737. The reversal of 350816474736 is 637474618053.

It is a happy number.

350816474736 is a `hidden beast` number, since 3 + 5 + 0 + 8 + 164 + 7 + 473 + 6 = 666.

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 (350816474737) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 751212775 + ... + 751213241.

It is an arithmetic number, because the mean of its divisors is an integer number (1970592624).

Almost surely, 2^350816474736 is an apocalyptic number.

350816474736 is a gapful number since it is divisible by the number (36) 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 350816474736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630589639680).

350816474736 is an abundant number, since it is smaller than the sum of its proper divisors (910362804624).

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

350816474736 is a wasteful number, since it uses less digits than its factorization.

350816474736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 798 (or 786 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 350816474736 in words is "three hundred fifty billion, eight hundred sixteen million, four hundred seventy-four thousand, seven hundred thirty-six".