351835760640 has 768 divisors, whose sum is σ = 1397670543360. Its totient is φ = 73574645760.

The previous prime is 351835760629. The next prime is 351835760693. The reversal of 351835760640 is 46067538153.

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 (48).

It is a self number, because there is not a number n which added to its sum of digits gives 351835760640.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 355030545 + ... + 355031535.

It is an arithmetic number, because the mean of its divisors is an integer number (1819883520).

Almost surely, 2^351835760640 is an apocalyptic number.

351835760640 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 351835760640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698835271680).

351835760640 is an abundant number, since it is smaller than the sum of its proper divisors (1045834782720).

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

351835760640 is a wasteful number, since it uses less digits than its factorization.

351835760640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1148 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 48.

The spelling of 351835760640 in words is "three hundred fifty-one billion, eight hundred thirty-five million, seven hundred sixty thousand, six hundred forty".