1816934400 has 216 divisors, whose sum is σ = 6508724040. Its totient is φ = 484392960.

The previous prime is 1816934369. The next prime is 1816934401. The reversal of 1816934400 is 44396181.

It is a super-2 number, since 2×1816934400² = 6602501227806720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1816934401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 458829 + ... + 462771.

Almost surely, 2^1816934400 is an apocalyptic number.

1816934400 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 1816934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3254362020).

1816934400 is an abundant number, since it is smaller than the sum of its proper divisors (4691789640).

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

1816934400 is a wasteful number, since it uses less digits than its factorization.

1816934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3981 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1816934400 is about 42625.5134866432. The cubic root of 1816934400 is about 1220.2432552656.

The spelling of 1816934400 in words is "one billion, eight hundred sixteen million, nine hundred thirty-four thousand, four hundred".