3920627282304 has 256 divisors, whose sum is σ = 10657424793600. Its totient is φ = 1276756377600.

The previous prime is 3920627282281. The next prime is 3920627282309. The reversal of 3920627282304 is 4032827260293.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3920627282309) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2357562177 + ... + 2357563839.

It is an arithmetic number, because the mean of its divisors is an integer number (41630565600).

Almost surely, 2^{3920627282304} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3920627282304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5328712396800).

3920627282304 is an abundant number, since it is smaller than the sum of its proper divisors (6736797511296).

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

3920627282304 is a wasteful number, since it uses less digits than its factorization.

3920627282304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2541 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 3920627282304 in words is "three trillion, nine hundred twenty billion, six hundred twenty-seven million, two hundred eighty-two thousand, three hundred four".