351361377360 has 240 divisors, whose sum is σ = 1360494779904. Its totient is φ = 79600324608.

The previous prime is 351361377259. The next prime is 351361377383. The reversal of 351361377360 is 63773163153.

351361377360 is a `hidden beast` number, since 3 + 513 + 6 + 1 + 3 + 7 + 73 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 261049 + ... + 877991.

Almost surely, 2^351361377360 is an apocalyptic number.

351361377360 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 351361377360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (680247389952).

351361377360 is an abundant number, since it is smaller than the sum of its proper divisors (1009133402544).

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

351361377360 is a wasteful number, since it uses less digits than its factorization.

351361377360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617082 (or 617073 counting only the distinct ones).

The product of its (nonzero) digits is 714420, while the sum is 45.

The spelling of 351361377360 in words is "three hundred fifty-one billion, three hundred sixty-one million, three hundred seventy-seven thousand, three hundred sixty".