1934811648 has 720 divisors, whose sum is σ = 7641073440. Its totient is φ = 464486400.

The previous prime is 1934811643. The next prime is 1934811713. The reversal of 1934811648 is 8461184391.

1934811648 is a `hidden beast` number, since 1 + 9 + 3 + 481 + 164 + 8 = 666.

It is a super-2 number, since 2×1934811648² = 7486992226472951808, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1934811643) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47190508 + ... + 47190548.

It is an arithmetic number, because the mean of its divisors is an integer number (10612602).

Almost surely, 2^1934811648 is an apocalyptic number.

1934811648 is a gapful number since it is divisible by the number (18) 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 1934811648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3820536720).

1934811648 is an abundant number, since it is smaller than the sum of its proper divisors (5706261792).

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

1934811648 is a wasteful number, since it uses less digits than its factorization.

1934811648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 83 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The square root of 1934811648 is about 43986.4939271136. The cubic root of 1934811648 is about 1246.0808767938.

The spelling of 1934811648 in words is "one billion, nine hundred thirty-four million, eight hundred eleven thousand, six hundred forty-eight".