38010480189696 has 729 divisors, whose sum is σ = 130102156032303. Its totient is φ = 10641738885120.

The previous prime is 38010480189683. The next prime is 38010480189709. The reversal of 38010480189696 is 69698108401083.

The square root of 38010480189696 is 6165264.

It is a perfect power (a square), and thus also a powerful number.

38010480189696 is a `hidden beast` number, since 3 + 8 + 0 + 10 + 480 + 1 + 89 + 69 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (38010480189683) and next prime (38010480189709).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 122220193381 + ... + 122220193691.

Almost surely, 2^{38010480189696} is an apocalyptic number.

38010480189696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

38010480189696 is the 6165264-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38010480189696

38010480189696 is an abundant number, since it is smaller than the sum of its proper divisors (92091675842607).

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

38010480189696 is an frugal number, since it uses more digits than its factorization.

38010480189696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 38010480189696 in words is "thirty-eight trillion, ten billion, four hundred eighty million, one hundred eighty-nine thousand, six hundred ninety-six".