3649201920 has 648 divisors, whose sum is σ = 15807363936. Its totient is φ = 756891648.

The previous prime is 3649201877. The next prime is 3649201943. The reversal of 3649201920 is 291029463.

3649201920 is a `hidden beast` number, since 3 + 649 + 2 + 0 + 1 + 9 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 61850851 + ... + 61850909.

Almost surely, 2^3649201920 is an apocalyptic number.

3649201920 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 3649201920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7903681968).

3649201920 is an abundant number, since it is smaller than the sum of its proper divisors (12158162016).

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

3649201920 is a wasteful number, since it uses less digits than its factorization.

3649201920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 3649201920 is about 60408.6245498108. The cubic root of 3649201920 is about 1539.5694979263.

The spelling of 3649201920 in words is "three billion, six hundred forty-nine million, two hundred one thousand, nine hundred twenty".