3672840000 has 280 divisors, whose sum is σ = 12289666048. Its totient is φ = 967680000.

The previous prime is 3672839999. The next prime is 3672840001. The reversal of 3672840000 is 482763.

3672840000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3672839999) and next prime (3672840001).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3672840000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672840001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15239880 + ... + 15240120.

Almost surely, 2^3672840000 is an apocalyptic number.

3672840000 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 3672840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6144833024).

3672840000 is an abundant number, since it is smaller than the sum of its proper divisors (8616826048).

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

3672840000 is a wasteful number, since it uses less digits than its factorization.

3672840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 3672840000 is about 60603.9602666360. The cubic root of 3672840000 is about 1542.8865857599.

The spelling of 3672840000 in words is "three billion, six hundred seventy-two million, eight hundred forty thousand".