38345864040 has 384 divisors, whose sum is σ = 145178542080. Its totient is φ = 8684121600.

The previous prime is 38345864021. The next prime is 38345864047. The reversal of 38345864040 is 4046854383.

38345864040 is a `hidden beast` number, since 38 + 34 + 586 + 4 + 0 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 195821²-1.

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 (38345864047) 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, 3911545 + ... + 3921335.

It is an arithmetic number, because the mean of its divisors is an integer number (378069120).

Almost surely, 2^38345864040 is an apocalyptic number.

38345864040 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 38345864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72589271040).

38345864040 is an abundant number, since it is smaller than the sum of its proper divisors (106832678040).

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

38345864040 is a wasteful number, since it uses less digits than its factorization.

38345864040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9885 (or 9878 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 38345864040 in words is "thirty-eight billion, three hundred forty-five million, eight hundred sixty-four thousand, forty".