3606757440 has 672 divisors, whose sum is σ = 14136477696. Its totient is φ = 771563520.

The previous prime is 3606757433. The next prime is 3606757493. The reversal of 3606757440 is 447576063.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 3606757392 and 3606757401.

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, 76739497 + ... + 76739543.

Almost surely, 2^3606757440 is an apocalyptic number.

3606757440 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 3606757440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7068238848).

3606757440 is an abundant number, since it is smaller than the sum of its proper divisors (10529720256).

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

3606757440 is a wasteful number, since it uses less digits than its factorization.

3606757440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The square root of 3606757440 is about 60056.2855994275. The cubic root of 3606757440 is about 1533.5772080069.

The spelling of 3606757440 in words is "three billion, six hundred six million, seven hundred fifty-seven thousand, four hundred forty".