39381373946880 has 1584 divisors, whose sum is σ = 172952609628960. Its totient is φ = 8471538302976.

The previous prime is 39381373946843. The next prime is 39381373946911. The reversal of 39381373946880 is 8864937318393.

39381373946880 is a `hidden beast` number, since 3 + 9 + 3 + 8 + 13 + 73 + 9 + 468 + 80 = 666.

It is a super-2 number, since 2×39381373946880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 39381373946799 and 39381373946808.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1957606582 + ... + 1957626698.

Almost surely, 2^{39381373946880} is an apocalyptic number.

39381373946880 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 39381373946880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86476304814480).

39381373946880 is an abundant number, since it is smaller than the sum of its proper divisors (133571235682080).

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

39381373946880 is a wasteful number, since it uses less digits than its factorization.

39381373946880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20199 (or 20151 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 39381373946880 in words is "thirty-nine trillion, three hundred eighty-one billion, three hundred seventy-three million, nine hundred forty-six thousand, eight hundred eighty".