38072394360 has 1728 divisors, whose sum is σ = 180427927680. Its totient is φ = 7132769280.

The previous prime is 38072394341. The next prime is 38072394379. The reversal of 38072394360 is 6349327083.

38072394360 is a `hidden beast` number, since 380 + 7 + 239 + 4 + 36 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38072394341) and next prime (38072394379).

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 (17) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 885404499 + ... + 885404541.

It is an arithmetic number, because the mean of its divisors is an integer number (104414310).

Almost surely, 2^38072394360 is an apocalyptic number.

38072394360 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 38072394360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90213963840).

38072394360 is an abundant number, since it is smaller than the sum of its proper divisors (142355533320).

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

38072394360 is a wasteful number, since it uses less digits than its factorization.

38072394360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 38072394360 in words is "thirty-eight billion, seventy-two million, three hundred ninety-four thousand, three hundred sixty".