3350442432960 has 896 divisors, whose sum is σ = 14054672302080. Its totient is φ = 735223910400.

The previous prime is 3350442432943. The next prime is 3350442432971. The reversal of 3350442432960 is 692342440533.

3350442432960 is a `hidden beast` number, since 3 + 3 + 504 + 4 + 24 + 32 + 96 + 0 = 666.

It is a super-2 number, since 2×3350442432960² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 238102725 + ... + 238116795.

Almost surely, 2^{3350442432960} is an apocalyptic number.

3350442432960 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 3350442432960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7027336151040).

3350442432960 is an abundant number, since it is smaller than the sum of its proper divisors (10704229869120).

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

3350442432960 is a wasteful number, since it uses less digits than its factorization.

3350442432960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14262 (or 14246 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 3350442432960 in words is "three trillion, three hundred fifty billion, four hundred forty-two million, four hundred thirty-two thousand, nine hundred sixty".