1965340800 has 576 divisors, whose sum is σ = 7693778400. Its totient is φ = 489646080.

The previous prime is 1965340789. The next prime is 1965340807. The reversal of 1965340800 is 80435691.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (1965340807) 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, 45705579 + ... + 45705621.

Almost surely, 2^1965340800 is an apocalyptic number.

1965340800 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 1965340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3846889200).

1965340800 is an abundant number, since it is smaller than the sum of its proper divisors (5728437600).

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

1965340800 is a wasteful number, since it uses less digits than its factorization.

1965340800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 1965340800 is about 44332.1643956169. The cubic root of 1965340800 is about 1252.6006229891.

The spelling of 1965340800 in words is "one billion, nine hundred sixty-five million, three hundred forty thousand, eight hundred".