39354981120 has 1296 divisors, whose sum is σ = 177099616512. Its totient is φ = 7989166080.

The previous prime is 39354981053. The next prime is 39354981121. The reversal of 39354981120 is 2118945393.

It is a happy number.

39354981120 is a `hidden beast` number, since 3 + 9 + 3 + 549 + 81 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (39354981121) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 227485354 + ... + 227485526.

Almost surely, 2^39354981120 is an apocalyptic number.

39354981120 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 39354981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88549808256).

39354981120 is an abundant number, since it is smaller than the sum of its proper divisors (137744635392).

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

39354981120 is a wasteful number, since it uses less digits than its factorization.

39354981120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 39354981120 in words is "thirty-nine billion, three hundred fifty-four million, nine hundred eighty-one thousand, one hundred twenty".