3659081040 has 200 divisors, whose sum is σ = 13261615488. Its totient is φ = 933292800.

The previous prime is 3659081029. The next prime is 3659081051. The reversal of 3659081040 is 401809563.

It is an interprime number because it is at equal distance from previous prime (3659081029) and next prime (3659081051).

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 = 3659080986 and 3659081004.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 136765 + ... + 161315.

Almost surely, 2^3659081040 is an apocalyptic number.

3659081040 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 3659081040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6630807744).

3659081040 is an abundant number, since it is smaller than the sum of its proper divisors (9602534448).

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

3659081040 is a wasteful number, since it uses less digits than its factorization.

3659081040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24599 (or 24584 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3659081040 is about 60490.3384020953. The cubic root of 3659081040 is about 1540.9575536912.

The spelling of 3659081040 in words is "three billion, six hundred fifty-nine million, eighty-one thousand, forty".