39038218616320 has 1920 divisors, whose sum is σ = 130006399057920. Its totient is φ = 10954447257600.

The previous prime is 39038218616281. The next prime is 39038218616323. The reversal of 39038218616320 is 2361681283093.

It is a super-3 number, since 3×39038218616320³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39038218616323) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 145123489146 + ... + 145123489414.

It is an arithmetic number, because the mean of its divisors is an integer number (67711666176).

Almost surely, 2^{39038218616320} 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 39038218616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65003199528960).

39038218616320 is an abundant number, since it is smaller than the sum of its proper divisors (90968180441600).

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

39038218616320 is a wasteful number, since it uses less digits than its factorization.

39038218616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 496 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 52.

The spelling of 39038218616320 in words is "thirty-nine trillion, thirty-eight billion, two hundred eighteen million, six hundred sixteen thousand, three hundred twenty".