1938697680 has 320 divisors, whose sum is σ = 6797779200. Its totient is φ = 454164480.

The previous prime is 1938697679. The next prime is 1938697757. The reversal of 1938697680 is 867968391.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 1938697680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6899140 + ... + 6899420.

It is an arithmetic number, because the mean of its divisors is an integer number (21243060).

Almost surely, 2^1938697680 is an apocalyptic number.

1938697680 is a gapful number since it is divisible by the number (10) 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 1938697680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3398889600).

1938697680 is an abundant number, since it is smaller than the sum of its proper divisors (4859081520).

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

1938697680 is a wasteful number, since it uses less digits than its factorization.

1938697680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 57.

The square root of 1938697680 is about 44030.6447829236. The cubic root of 1938697680 is about 1246.9145620578.

The spelling of 1938697680 in words is "one billion, nine hundred thirty-eight million, six hundred ninety-seven thousand, six hundred eighty".