351311474007000 has 768 divisors, whose sum is σ = 1293630737817600. Its totient is φ = 85477778150400.

The previous prime is 351311474006923. The next prime is 351311474007001. The reversal of 351311474007000 is 700474113153.

It is a happy number.

351311474007000 is a `hidden beast` number, since 3 + 513 + 1 + 1 + 4 + 74 + 0 + 0 + 70 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351311474007001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3497430777 + ... + 3497531223.

It is an arithmetic number, because the mean of its divisors is an integer number (1684415023200).

Almost surely, 2^{351311474007000} is an apocalyptic number.

351311474007000 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 351311474007000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646815368908800).

351311474007000 is an abundant number, since it is smaller than the sum of its proper divisors (942319263810600).

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

351311474007000 is a wasteful number, since it uses less digits than its factorization.

351311474007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100833 (or 100816 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 351311474007000 in words is "three hundred fifty-one trillion, three hundred eleven billion, four hundred seventy-four million, seven thousand".