351593378400 has 864 divisors, whose sum is σ = 1319608039680. Its totient is φ = 81142476800.

The previous prime is 351593378387. The next prime is 351593378489. The reversal of 351593378400 is 4873395153.

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 351593378400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 698992549 + ... + 698993051.

It is an arithmetic number, because the mean of its divisors is an integer number (1527324120).

Almost surely, 2^351593378400 is an apocalyptic number.

351593378400 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 351593378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659804019840).

351593378400 is an abundant number, since it is smaller than the sum of its proper divisors (968014661280).

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

351593378400 is a wasteful number, since it uses less digits than its factorization.

351593378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 660 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 351593378400 in words is "three hundred fifty-one billion, five hundred ninety-three million, three hundred seventy-eight thousand, four hundred".