351001040 has 80 divisors (see below), whose sum is σ = 930596688. Its totient is φ = 121970688.

The previous prime is 351000997. The next prime is 351001043. The reversal of 351001040 is 40100153.

351001040 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 31449664 + 319551376 = 5608^2 + 17876^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351001043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7754 + ... + 27606.

Almost surely, 2^351001040 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 351001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465298344).

351001040 is an abundant number, since it is smaller than the sum of its proper divisors (579595648).

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

351001040 is a wasteful number, since it uses less digits than its factorization.

351001040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19896 (or 19890 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 351001040 is about 18735.0217507213. The cubic root of 351001040 is about 705.4011030073.

Adding to 351001040 its reverse (40100153), we get a palindrome (391101193).

The spelling of 351001040 in words is "three hundred fifty-one million, one thousand, forty".