3606359040 has 264 divisors, whose sum is σ = 12710690928. Its totient is φ = 945192960.

The previous prime is 3606359033. The next prime is 3606359041. The reversal of 3606359040 is 409536063.

3606359040 is a `hidden beast` number, since 3 + 6 + 0 + 63 + 590 + 4 + 0 = 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 = 3606358986 and 3606359004.

It is not an unprimeable number, because it can be changed into a prime (3606359041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810239 + ... + 2811521.

Almost surely, 2^3606359040 is an apocalyptic number.

3606359040 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 3606359040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6355345464).

3606359040 is an abundant number, since it is smaller than the sum of its proper divisors (9104331888).

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

3606359040 is a wasteful number, since it uses less digits than its factorization.

3606359040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1375 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 3606359040 is about 60052.9686193780. The cubic root of 3606359040 is about 1533.5207399589.

The spelling of 3606359040 in words is "three billion, six hundred six million, three hundred fifty-nine thousand, forty".