351735491712 has 256 divisors, whose sum is σ = 1045755930240. Its totient is φ = 103821312000.

The previous prime is 351735491699. The next prime is 351735491743. The reversal of 351735491712 is 217194537153.

It is a super-4 number, since 4×351735491712⁴ (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 147724762 + ... + 147727142.

Almost surely, 2^351735491712 is an apocalyptic number.

351735491712 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 351735491712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (522877965120).

351735491712 is an abundant number, since it is smaller than the sum of its proper divisors (694020438528).

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

351735491712 is a wasteful number, since it uses less digits than its factorization.

351735491712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3303 (or 3291 counting only the distinct ones).

The product of its digits is 793800, while the sum is 48.

The spelling of 351735491712 in words is "three hundred fifty-one billion, seven hundred thirty-five million, four hundred ninety-one thousand, seven hundred twelve".