1948084736 has 60 divisors (see below), whose sum is σ = 4199539806. Its totient is φ = 897454080.

The previous prime is 1948084709. The next prime is 1948084781. The reversal of 1948084736 is 6374808491.

It can be written as a sum of positive squares in 3 ways, for example, as 1156000000 + 792084736 = 34000^2 + 28144^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3600626 + ... + 3601166.

Almost surely, 2^1948084736 is an apocalyptic number.

1948084736 is a gapful number since it is divisible by the number (16) 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 1948084736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2099769903).

1948084736 is an abundant number, since it is smaller than the sum of its proper divisors (2251455070).

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

1948084736 is an frugal number, since it uses more digits than its factorization.

1948084736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1113 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The square root of 1948084736 is about 44137.1129096591. The cubic root of 1948084736 is about 1248.9238174107.

The spelling of 1948084736 in words is "one billion, nine hundred forty-eight million, eighty-four thousand, seven hundred thirty-six".