38962218240 has 720 divisors, whose sum is σ = 153855313920. Its totient is φ = 9336176640.

The previous prime is 38962218223. The next prime is 38962218263. The reversal of 38962218240 is 4281226983.

38962218240 is a `hidden beast` number, since 3 + 8 + 9 + 622 + 18 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 144840826 + ... + 144841094.

It is an arithmetic number, because the mean of its divisors is an integer number (213687936).

Almost surely, 2^38962218240 is an apocalyptic number.

38962218240 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 38962218240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76927656960).

38962218240 is an abundant number, since it is smaller than the sum of its proper divisors (114893095680).

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

38962218240 is a wasteful number, since it uses less digits than its factorization.

38962218240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 38962218240 in words is "thirty-eight billion, nine hundred sixty-two million, two hundred eighteen thousand, two hundred forty".