38769610000 has 225 divisors, whose sum is σ = 103753649923. Its totient is φ = 14019280000.

The previous prime is 38769609973. The next prime is 38769610057. The reversal of 38769610000 is 1696783.

The square root of 38769610000 is 196900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 3039537424 + 35730072576 = 55132^2 + 189024^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 216589911 + ... + 216590089.

Almost surely, 2^38769610000 is an apocalyptic number.

38769610000 is the 196900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38769610000

38769610000 is an abundant number, since it is smaller than the sum of its proper divisors (64984039923).

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

38769610000 is an equidigital number, since it uses as much as digits as its factorization.

38769610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 38769610000 in words is "thirty-eight billion, seven hundred sixty-nine million, six hundred ten thousand".