1838340096 has 72 divisors (see below), whose sum is σ = 4910019660. Its totient is φ = 611659776.

The previous prime is 1838340089. The next prime is 1838340107. The reversal of 1838340096 is 6900438381.

It is a happy number.

It is a super-2 number, since 2×1838340096² = 6758988617122578432, which contains 22 as substring.

It is a congruent number.

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, 3360495 + ... + 3361041.

Almost surely, 2^1838340096 is an apocalyptic number.

1838340096 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 1838340096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2455009830).

1838340096 is an abundant number, since it is smaller than the sum of its proper divisors (3071679564).

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

1838340096 is an frugal number, since it uses more digits than its factorization.

1838340096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 1838340096 is about 42875.8684576767. The cubic root of 1838340096 is about 1225.0165419951.

Multiplying 1838340096 by its product of nonzero digits (124416), we get a square (228718921383936 = 15123456²).

The spelling of 1838340096 in words is "one billion, eight hundred thirty-eight million, three hundred forty thousand, ninety-six".