3640553280 has 672 divisors, whose sum is σ = 15976396800. Its totient is φ = 740081664.

The previous prime is 3640553243. The next prime is 3640553297. The reversal of 3640553280 is 823550463.

It is a happy number.

3640553280 is a `hidden beast` number, since 3 + 6 + 40 + 5 + 532 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-3 number, since 3×3640553280³ (a number of 30 digits) contains 333 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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7600081 + ... + 7600559.

It is an arithmetic number, because the mean of its divisors is an integer number (23774400).

Almost surely, 2^3640553280 is an apocalyptic number.

3640553280 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 3640553280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7988198400).

3640553280 is an abundant number, since it is smaller than the sum of its proper divisors (12335843520).

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

3640553280 is a wasteful number, since it uses less digits than its factorization.

3640553280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 551 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 3640553280 is about 60336.9976051179. The cubic root of 3640553280 is about 1538.3522714807.

The spelling of 3640553280 in words is "three billion, six hundred forty million, five hundred fifty-three thousand, two hundred eighty".