351842924160 has 1920 divisors, whose sum is σ = 1622330236800. Its totient is φ = 69645090816.

The previous prime is 351842924101. The next prime is 351842924171. The reversal of 351842924160 is 61429248153.

351842924160 is a `hidden beast` number, since 3 + 518 + 4 + 2 + 92 + 41 + 6 + 0 = 666.

351842924160 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3415950669 + ... + 3415950771.

It is an arithmetic number, because the mean of its divisors is an integer number (844963665).

Almost surely, 2^351842924160 is an apocalyptic number.

351842924160 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 351842924160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (811165118400).

351842924160 is an abundant number, since it is smaller than the sum of its proper divisors (1270487312640).

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

351842924160 is a wasteful number, since it uses less digits than its factorization.

351842924160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 351842924160 in words is "three hundred fifty-one billion, eight hundred forty-two million, nine hundred twenty-four thousand, one hundred sixty".