3680040000 has 560 divisors, whose sum is σ = 15019292288. Its totient is φ = 774144000.

The previous prime is 3680039953. The next prime is 3680040041. The reversal of 3680040000 is 400863.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10919832 + ... + 10920168.

Almost surely, 2^3680040000 is an apocalyptic number.

3680040000 is a gapful number since it is divisible by the number (30) 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 3680040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7509646144).

3680040000 is an abundant number, since it is smaller than the sum of its proper divisors (11339252288).

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

3680040000 is a wasteful number, since it uses less digits than its factorization.

3680040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 3680040000 is about 60663.3332417532. Note that the first 3 decimals coincide. The cubic root of 3680040000 is about 1543.8941196511.

Adding to 3680040000 its reverse (400863), we get a palindrome (3680440863).

The spelling of 3680040000 in words is "three billion, six hundred eighty million, forty thousand".