38497694515200 has 1920 divisors, whose sum is σ = 153531512640000. Its totient is φ = 9539860561920.

The previous prime is 38497694515123. The next prime is 38497694515201. The reversal of 38497694515200 is 251549679483.

38497694515200 is a `hidden beast` number, since 3 + 8 + 4 + 9 + 7 + 6 + 94 + 515 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (38497694515201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487312588761 + ... + 487312588839.

It is an arithmetic number, because the mean of its divisors is an integer number (79964329500).

It is a 1-persistent number, because it is pandigital, but 2⋅38497694515200 = 76995389030400 is not.

Almost surely, 2^{38497694515200} is an apocalyptic number.

38497694515200 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 38497694515200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76765756320000).

38497694515200 is an abundant number, since it is smaller than the sum of its proper divisors (115033818124800).

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

38497694515200 is an frugal number, since it uses more digits than its factorization.

38497694515200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 38497694515200 in words is "thirty-eight trillion, four hundred ninety-seven billion, six hundred ninety-four million, five hundred fifteen thousand, two hundred".