3602672640 has 880 divisors, whose sum is σ = 15836116032. Its totient is φ = 764411904.

The previous prime is 3602672617. The next prime is 3602672641. The reversal of 3602672640 is 462762063.

It is a happy number.

3602672640 is a `hidden beast` number, since 3 + 6 + 0 + 2 + 6 + 7 + 2 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3602672595 and 3602672604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3602672641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49351644 + ... + 49351716.

Almost surely, 2^3602672640 is an apocalyptic number.

3602672640 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 3602672640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7918058016).

3602672640 is an abundant number, since it is smaller than the sum of its proper divisors (12233443392).

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

3602672640 is a wasteful number, since it uses less digits than its factorization.

3602672640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3602672640 is about 60022.2678678505. The cubic root of 3602672640 is about 1532.9980430503.

The spelling of 3602672640 in words is "three billion, six hundred two million, six hundred seventy-two thousand, six hundred forty".