38070938304 has 672 divisors, whose sum is σ = 138462105600. Its totient is φ = 10137415680.

The previous prime is 38070938291. The next prime is 38070938327. The reversal of 38070938304 is 40383907083.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×38070938304³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 38070938304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 97868542 + ... + 97868930.

It is an arithmetic number, because the mean of its divisors is an integer number (206044800).

Almost surely, 2^38070938304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38070938304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69231052800).

38070938304 is an abundant number, since it is smaller than the sum of its proper divisors (100391167296).

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

38070938304 is a wasteful number, since it uses less digits than its factorization.

38070938304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 38070938304 in words is "thirty-eight billion, seventy million, nine hundred thirty-eight thousand, three hundred four".