351674284478400 has 672 divisors, whose sum is σ = 1381207385611200. Its totient is φ = 86527711641600.

The previous prime is 351674284478369. The next prime is 351674284478401. The reversal of 351674284478400 is 4874482476153.

It is a happy number.

351674284478400 is a `hidden beast` number, since 3 + 5 + 1 + 6 + 7 + 42 + 84 + 478 + 40 + 0 = 666.

It is a super-2 number, since 2×351674284478400² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351674284478401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1280872336 + ... + 1281146864.

It is an arithmetic number, because the mean of its divisors is an integer number (2055368133350).

Almost surely, 2^{351674284478400} is an apocalyptic number.

351674284478400 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 351674284478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690603692805600).

351674284478400 is an abundant number, since it is smaller than the sum of its proper divisors (1029533101132800).

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

351674284478400 is a wasteful number, since it uses less digits than its factorization.

351674284478400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276854 (or 276833 counting only the distinct ones).

The product of its (nonzero) digits is 144506880, while the sum is 63.

The spelling of 351674284478400 in words is "three hundred fifty-one trillion, six hundred seventy-four billion, two hundred eighty-four million, four hundred seventy-eight thousand, four hundred".