3982350323520 has 336 divisors, whose sum is σ = 14297060673792. Its totient is φ = 1015511777280.

The previous prime is 3982350323519. The next prime is 3982350323533. The reversal of 3982350323520 is 253230532893.

3982350323520 is a `hidden beast` number, since 3 + 98 + 2 + 3 + 5 + 0 + 32 + 3 + 520 = 666.

It is a super-2 number, since 2×3982350323520² (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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 370342464 + ... + 370353216.

Almost surely, 2^{3982350323520} is an apocalyptic number.

3982350323520 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 3982350323520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7148530336896).

3982350323520 is an abundant number, since it is smaller than the sum of its proper divisors (10314710350272).

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

3982350323520 is a wasteful number, since it uses less digits than its factorization.

3982350323520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16390 (or 16377 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 45.

The spelling of 3982350323520 in words is "three trillion, nine hundred eighty-two billion, three hundred fifty million, three hundred twenty-three thousand, five hundred twenty".