38459695680000 has 2400 divisors, whose sum is σ = 168853888659456. Its totient is φ = 8223916032000.

The previous prime is 38459695679989. The next prime is 38459695680083. The reversal of 38459695680000 is 8659695483.

38459695680000 is a `hidden beast` number, since 3 + 8 + 4 + 5 + 9 + 69 + 568 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2400).

It is a super-3 number, since 3×38459695680000³ (a number of 42 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 38459695680000.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 100416959809 + ... + 100416960191.

Almost surely, 2^{38459695680000} is an apocalyptic number.

38459695680000 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 38459695680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84426944329728).

38459695680000 is an abundant number, since it is smaller than the sum of its proper divisors (130394192979456).

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

38459695680000 is a wasteful number, since it uses less digits than its factorization.

38459695680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 38459695680000 in words is "thirty-eight trillion, four hundred fifty-nine billion, six hundred ninety-five million, six hundred eighty thousand".