351484780032 has 480 divisors, whose sum is σ = 1122916066272. Its totient is φ = 109374603264.

The previous prime is 351484780021. The next prime is 351484780039. The reversal of 351484780032 is 230087484153.

351484780032 is a `hidden beast` number, since 3 + 5 + 148 + 478 + 0 + 0 + 32 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 351484780032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (351484780039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289764258 + ... + 289765470.

Almost surely, 2^351484780032 is an apocalyptic number.

351484780032 is a gapful number since it is divisible by the number (32) 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 351484780032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561458033136).

351484780032 is an abundant number, since it is smaller than the sum of its proper divisors (771431286240).

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

351484780032 is a wasteful number, since it uses less digits than its factorization.

351484780032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1400 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 351484780032 in words is "three hundred fifty-one billion, four hundred eighty-four million, seven hundred eighty thousand, thirty-two".