38694205440 has 480 divisors, whose sum is σ = 151336064880. Its totient is φ = 9378201600.

The previous prime is 38694205397. The next prime is 38694205453. The reversal of 38694205440 is 4450249683.

38694205440 is a `hidden beast` number, since 3 + 8 + 69 + 42 + 0 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9121720 + ... + 9125960.

Almost surely, 2^38694205440 is an apocalyptic number.

38694205440 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 38694205440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75668032440).

38694205440 is an abundant number, since it is smaller than the sum of its proper divisors (112641859440).

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

38694205440 is a wasteful number, since it uses less digits than its factorization.

38694205440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4291 (or 4262 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 38694205440 in words is "thirty-eight billion, six hundred ninety-four million, two hundred five thousand, four hundred forty".