1939381920 has 384 divisors, whose sum is σ = 7896268800. Its totient is φ = 435373056.

The previous prime is 1939381909. The next prime is 1939381949. The reversal of 1939381920 is 291839391.

It is a happy number.

It is a super-2 number, since 2×1939381920² = 7522404463245772800, which contains 22 as substring.

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

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, 1783617 + ... + 1784703.

It is an arithmetic number, because the mean of its divisors is an integer number (20563200).

Almost surely, 2^1939381920 is an apocalyptic number.

1939381920 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 1939381920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3948134400).

1939381920 is an abundant number, since it is smaller than the sum of its proper divisors (5956886880).

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

1939381920 is a wasteful number, since it uses less digits than its factorization.

1939381920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 1939381920 is about 44038.4141403843. The cubic root of 1939381920 is about 1247.0612392962.

The spelling of 1939381920 in words is "one billion, nine hundred thirty-nine million, three hundred eighty-one thousand, nine hundred twenty".