39628364380920 has 768 divisors, whose sum is σ = 158946235718400. Its totient is φ = 8369673338880.

The previous prime is 39628364380867. The next prime is 39628364380937. The reversal of 39628364380920 is 2908346382693.

39628364380920 is a `hidden beast` number, since 3 + 96 + 2 + 83 + 6 + 4 + 380 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 164821432 + ... + 165061688.

It is an arithmetic number, because the mean of its divisors is an integer number (206961244425).

Almost surely, 2^{39628364380920} is an apocalyptic number.

39628364380920 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 39628364380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79473117859200).

39628364380920 is an abundant number, since it is smaller than the sum of its proper divisors (119317871337480).

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

39628364380920 is a wasteful number, since it uses less digits than its factorization.

39628364380920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240408 (or 240401 counting only the distinct ones).

The product of its (nonzero) digits is 80621568, while the sum is 63.

The spelling of 39628364380920 in words is "thirty-nine trillion, six hundred twenty-eight billion, three hundred sixty-four million, three hundred eighty thousand, nine hundred twenty".