3607662240 has 1440 divisors, whose sum is σ = 17519483520. Its totient is φ = 689762304.

The previous prime is 3607662193. The next prime is 3607662251. The reversal of 3607662240 is 422667063.

It is a happy number.

3607662240 is a `hidden beast` number, since 3 + 607 + 6 + 6 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 = 3607662195 and 3607662204.

It is an unprimeable number.

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 239 ways as a sum of consecutive naturals, for example, 156854869 + ... + 156854891.

It is an arithmetic number, because the mean of its divisors is an integer number (12166308).

Almost surely, 2^3607662240 is an apocalyptic number.

3607662240 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 3607662240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8759741760).

3607662240 is an abundant number, since it is smaller than the sum of its proper divisors (13911821280).

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

3607662240 is a wasteful number, since it uses less digits than its factorization.

3607662240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 72 counting only the distinct ones).

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

The square root of 3607662240 is about 60063.8180604597. The cubic root of 3607662240 is about 1533.7054362624.

The spelling of 3607662240 in words is "three billion, six hundred seven million, six hundred sixty-two thousand, two hundred forty".