350538596352 has 768 divisors, whose sum is σ = 1267163788800. Its totient is φ = 94595973120.

The previous prime is 350538596347. The next prime is 350538596377. The reversal of 350538596352 is 253695835053.

350538596352 is a `hidden beast` number, since 3 + 5 + 0 + 538 + 59 + 6 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1059028827 + ... + 1059029157.

It is an arithmetic number, because the mean of its divisors is an integer number (1649952850).

Almost surely, 2^350538596352 is an apocalyptic number.

350538596352 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 350538596352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633581894400).

350538596352 is an abundant number, since it is smaller than the sum of its proper divisors (916625192448).

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

350538596352 is an frugal number, since it uses more digits than its factorization.

350538596352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 14580000, while the sum is 54.

The spelling of 350538596352 in words is "three hundred fifty billion, five hundred thirty-eight million, five hundred ninety-six thousand, three hundred fifty-two".