351042384000 has 2048 divisors, whose sum is σ = 1588165263360. Its totient is φ = 66355200000.

The previous prime is 351042383969. The next prime is 351042384053. The reversal of 351042384000 is 483240153.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2324783925 + ... + 2324784075.

It is an arithmetic number, because the mean of its divisors is an integer number (775471320).

Almost surely, 2^351042384000 is an apocalyptic number.

351042384000 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 351042384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794082631680).

351042384000 is an abundant number, since it is smaller than the sum of its proper divisors (1237122879360).

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

351042384000 is a wasteful number, since it uses less digits than its factorization.

351042384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 351042384000 in words is "three hundred fifty-one billion, forty-two million, three hundred eighty-four thousand".