3609955440 has 720 divisors, whose sum is σ = 16115718528. Its totient is φ = 715309056.

The previous prime is 3609955429. The next prime is 3609955463. The reversal of 3609955440 is 445599063.

3609955440 is a `hidden beast` number, since 3 + 6 + 0 + 99 + 554 + 4 + 0 = 666.

3609955440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7796649 + ... + 7797111.

Almost surely, 2^3609955440 is an apocalyptic number.

3609955440 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 3609955440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8057859264).

3609955440 is an abundant number, since it is smaller than the sum of its proper divisors (12505763088).

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

3609955440 is a wasteful number, since it uses less digits than its factorization.

3609955440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 3609955440 is about 60082.9047233903. The cubic root of 3609955440 is about 1534.0303325641.

The spelling of 3609955440 in words is "three billion, six hundred nine million, nine hundred fifty-five thousand, four hundred forty".