1838252736 has 336 divisors, whose sum is σ = 5927750400. Its totient is φ = 541956096.

The previous prime is 1838252729. The next prime is 1838252743. The reversal of 1838252736 is 6372528381.

1838252736 is a `hidden beast` number, since 18 + 3 + 82 + 527 + 36 = 666.

It is an interprime number because it is at equal distance from previous prime (1838252729) and next prime (1838252743).

It is a super-2 number, since 2×1838252736² = 6758346242822971392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1838252691 and 1838252700.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16864650 + ... + 16864758.

Almost surely, 2^1838252736 is an apocalyptic number.

1838252736 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 1838252736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2963875200).

1838252736 is an abundant number, since it is smaller than the sum of its proper divisors (4089497664).

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

1838252736 is a wasteful number, since it uses less digits than its factorization.

1838252736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 223 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 1838252736 is about 42874.8496906986. The cubic root of 1838252736 is about 1224.9971369640.

The spelling of 1838252736 in words is "one billion, eight hundred thirty-eight million, two hundred fifty-two thousand, seven hundred thirty-six".