38690751677760 has 2688 divisors, whose sum is σ = 181123620480000. Its totient is φ = 7680333053952.

The previous prime is 38690751677741. The next prime is 38690751677779. The reversal of 38690751677760 is 6777615709683.

38690751677760 is a `hidden beast` number, since 38 + 6 + 9 + 0 + 7 + 516 + 7 + 7 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (38690751677741) and next prime (38690751677779).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14074480866 + ... + 14074483614.

Almost surely, 2^{38690751677760} is an apocalyptic number.

38690751677760 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 38690751677760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90561810240000).

38690751677760 is an abundant number, since it is smaller than the sum of its proper divisors (142432868802240).

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

38690751677760 is a wasteful number, since it uses less digits than its factorization.

38690751677760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2837 (or 2796 counting only the distinct ones).

The product of its (nonzero) digits is 560105280, while the sum is 72.

The spelling of 38690751677760 in words is "thirty-eight trillion, six hundred ninety billion, seven hundred fifty-one million, six hundred seventy-seven thousand, seven hundred sixty".