3642209280 has 176 divisors, whose sum is σ = 12944245440. Its totient is φ = 971218944.

The previous prime is 3642209257. The next prime is 3642209281. The reversal of 3642209280 is 829022463.

3642209280 is a `hidden beast` number, since 3 + 642 + 2 + 0 + 9 + 2 + 8 + 0 = 666.

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 (3642209281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125067 + ... + 151413.

Almost surely, 2^3642209280 is an apocalyptic number.

3642209280 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 3642209280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472122720).

3642209280 is an abundant number, since it is smaller than the sum of its proper divisors (9302036160).

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

3642209280 is a wasteful number, since it uses less digits than its factorization.

3642209280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26381 (or 26357 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3642209280 is about 60350.7189683768. The cubic root of 3642209280 is about 1538.5854892543.

The spelling of 3642209280 in words is "three billion, six hundred forty-two million, two hundred nine thousand, two hundred eighty".