38047986662400 has 3696 divisors, whose sum is σ = 169889486689440. Its totient is φ = 8322534604800.

The previous prime is 38047986662393. The next prime is 38047986662401. The reversal of 38047986662400 is 426668974083.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38047986662401) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 141442329466 + ... + 141442329734.

Almost surely, 2^{38047986662400} is an apocalyptic number.

38047986662400 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 38047986662400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84944743344720).

38047986662400 is an abundant number, since it is smaller than the sum of its proper divisors (131841500027040).

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

38047986662400 is a wasteful number, since it uses less digits than its factorization.

38047986662400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 63.

The spelling of 38047986662400 in words is "thirty-eight trillion, forty-seven billion, nine hundred eighty-six million, six hundred sixty-two thousand, four hundred".