1936378080 has 432 divisors, whose sum is σ = 8281937664. Its totient is φ = 408360960.

The previous prime is 1936378069. The next prime is 1936378109. The reversal of 1936378080 is 808736391.

It is a happy number.

1936378080 is a `hidden beast` number, since 1 + 9 + 3 + 637 + 8 + 0 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 916225 + ... + 918335.

It is an arithmetic number, because the mean of its divisors is an integer number (19171152).

Almost surely, 2^1936378080 is an apocalyptic number.

1936378080 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 1936378080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4140968832).

1936378080 is an abundant number, since it is smaller than the sum of its proper divisors (6345559584).

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

1936378080 is a wasteful number, since it uses less digits than its factorization.

1936378080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 1936378080 is about 44004.2961538984. The cubic root of 1936378080 is about 1246.4170635991.

The spelling of 1936378080 in words is "one billion, nine hundred thirty-six million, three hundred seventy-eight thousand, eighty".