3659949498240 has 2048 divisors, whose sum is σ = 16454320128000. Its totient is φ = 749959741440.

The previous prime is 3659949498203. The next prime is 3659949498301. The reversal of 3659949498240 is 428949499563.

3659949498240 is a `hidden beast` number, since 3 + 6 + 5 + 9 + 9 + 494 + 98 + 2 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3348535134 + ... + 3348536226.

It is an arithmetic number, because the mean of its divisors is an integer number (8034336000).

Almost surely, 2^{3659949498240} is an apocalyptic number.

3659949498240 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 3659949498240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8227160064000).

3659949498240 is an abundant number, since it is smaller than the sum of its proper divisors (12794370629760).

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

3659949498240 is a wasteful number, since it uses less digits than its factorization.

3659949498240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1225 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 604661760, while the sum is 72.

The spelling of 3659949498240 in words is "three trillion, six hundred fifty-nine billion, nine hundred forty-nine million, four hundred ninety-eight thousand, two hundred forty".