351082790400 has 240 divisors, whose sum is σ = 1220823648000. Its totient is φ = 88694415360.

The previous prime is 351082790353. The next prime is 351082790411. The reversal of 351082790400 is 4097280153.

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

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 23 ways as a sum of consecutive naturals, for example, 489001 + ... + 970199.

It is an arithmetic number, because the mean of its divisors is an integer number (5086765200).

Almost surely, 2^351082790400 is an apocalyptic number.

351082790400 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 351082790400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610411824000).

351082790400 is an abundant number, since it is smaller than the sum of its proper divisors (869740857600).

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

351082790400 is a wasteful number, since it uses less digits than its factorization.

351082790400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481249 (or 481228 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The spelling of 351082790400 in words is "three hundred fifty-one billion, eighty-two million, seven hundred ninety thousand, four hundred".