3654350640 has 240 divisors, whose sum is σ = 12788743968. Its totient is φ = 969781248.

The previous prime is 3654350611. The next prime is 3654350659. The reversal of 3654350640 is 460534563.

3654350640 is a `hidden beast` number, since 3 + 6 + 5 + 4 + 3 + 5 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 3654350595 and 3654350604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6162184 + ... + 6162776.

Almost surely, 2^3654350640 is an apocalyptic number.

3654350640 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 3654350640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6394371984).

3654350640 is an abundant number, since it is smaller than the sum of its proper divisors (9134393328).

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

3654350640 is a wasteful number, since it uses less digits than its factorization.

3654350640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 3654350640 is about 60451.2252977555. The cubic root of 3654350640 is about 1540.2932257746.

The spelling of 3654350640 in words is "three billion, six hundred fifty-four million, three hundred fifty thousand, six hundred forty".