3649772917440 has 1792 divisors, whose sum is σ = 14769072783360. Its totient is φ = 842286366720.

The previous prime is 3649772917429. The next prime is 3649772917487. The reversal of 3649772917440 is 447192779463.

3649772917440 is a `hidden beast` number, since 3 + 6 + 497 + 72 + 9 + 1 + 74 + 4 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 21096953194 + ... + 21096953366.

It is an arithmetic number, because the mean of its divisors is an integer number (8241670080).

Almost surely, 2^{3649772917440} is an apocalyptic number.

3649772917440 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 3649772917440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384536391680).

3649772917440 is an abundant number, since it is smaller than the sum of its proper divisors (11119299865920).

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

3649772917440 is a wasteful number, since it uses less digits than its factorization.

3649772917440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399 (or 383 counting only the distinct ones).

The product of its (nonzero) digits is 64012032, while the sum is 63.

The spelling of 3649772917440 in words is "three trillion, six hundred forty-nine billion, seven hundred seventy-two million, nine hundred seventeen thousand, four hundred forty".