3671216640 has 960 divisors, whose sum is σ = 16729929216. Its totient is φ = 721944576.

The previous prime is 3671216639. The next prime is 3671216687. The reversal of 3671216640 is 466121763.

It is a happy number.

3671216640 is a `hidden beast` number, since 3 + 6 + 7 + 1 + 2 + 1 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 = 3671216595 and 3671216604.

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, 35642829 + ... + 35642931.

Almost surely, 2^3671216640 is an apocalyptic number.

3671216640 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 3671216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8364964608).

3671216640 is an abundant number, since it is smaller than the sum of its proper divisors (13058712576).

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

3671216640 is a wasteful number, since it uses less digits than its factorization.

3671216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3671216640 is about 60590.5656022454. The cubic root of 3671216640 is about 1542.6592385780.

The spelling of 3671216640 in words is "three billion, six hundred seventy-one million, two hundred sixteen thousand, six hundred forty".