38012994620640 has 576 divisors, whose sum is σ = 142396217308800. Its totient is φ = 9177182945280.

The previous prime is 38012994620621. The next prime is 38012994620647. The reversal of 38012994620640 is 4602649921083.

38012994620640 is a `hidden beast` number, since 3 + 8 + 0 + 1 + 2 + 9 + 9 + 4 + 620 + 6 + 4 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38012994620647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 398482389 + ... + 398577771.

It is an arithmetic number, because the mean of its divisors is an integer number (247215655050).

Almost surely, 2^{38012994620640} is an apocalyptic number.

38012994620640 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 38012994620640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71198108654400).

38012994620640 is an abundant number, since it is smaller than the sum of its proper divisors (104383222688160).

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

38012994620640 is a wasteful number, since it uses less digits than its factorization.

38012994620640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95827 (or 95816 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 38012994620640 in words is "thirty-eight trillion, twelve billion, nine hundred ninety-four million, six hundred twenty thousand, six hundred forty".