3842329452480 has 1120 divisors, whose sum is σ = 14639435247360. Its totient is φ = 957784227840.

The previous prime is 3842329452427. The next prime is 3842329452551. The reversal of 3842329452480 is 842549232483.

3842329452480 is a `hidden beast` number, since 3 + 8 + 4 + 2 + 32 + 9 + 4 + 524 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 11608245915 + ... + 11608246245.

It is an arithmetic number, because the mean of its divisors is an integer number (13070924328).

Almost surely, 2^{3842329452480} is an apocalyptic number.

3842329452480 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 3842329452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319717623680).

3842329452480 is an abundant number, since it is smaller than the sum of its proper divisors (10797105794880).

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

3842329452480 is an frugal number, since it uses more digits than its factorization.

3842329452480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3842329452480 in words is "three trillion, eight hundred forty-two billion, three hundred twenty-nine million, four hundred fifty-two thousand, four hundred eighty".