3649345920 has 512 divisors, whose sum is σ = 14347238400. Its totient is φ = 869253120.

The previous prime is 3649345901. The next prime is 3649345949. The reversal of 3649345920 is 295439463.

3649345920 is a `hidden beast` number, since 36 + 493 + 45 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13875709 + ... + 13875971.

It is an arithmetic number, because the mean of its divisors is an integer number (28021950).

Almost surely, 2^3649345920 is an apocalyptic number.

3649345920 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 3649345920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7173619200).

3649345920 is an abundant number, since it is smaller than the sum of its proper divisors (10697892480).

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

3649345920 is a wasteful number, since it uses less digits than its factorization.

3649345920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 45.

The square root of 3649345920 is about 60409.8164208434. The cubic root of 3649345920 is about 1539.5897484812.

The spelling of 3649345920 in words is "three billion, six hundred forty-nine million, three hundred forty-five thousand, nine hundred twenty".