3892561920 has 720 divisors, whose sum is σ = 15857821980. Its totient is φ = 907739136.

The previous prime is 3892561919. The next prime is 3892561931. The reversal of 3892561920 is 291652983.

3892561920 is a `hidden beast` number, since 3 + 8 + 9 + 2 + 5 + 619 + 20 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3623076864 + 269485056 = 60192^2 + 16416^2 .

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 204871671 + ... + 204871689.

Almost surely, 2^3892561920 is an apocalyptic number.

3892561920 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 3892561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7928910990).

3892561920 is an abundant number, since it is smaller than the sum of its proper divisors (11965260060).

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

3892561920 is a wasteful number, since it uses less digits than its factorization.

3892561920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 3892561920 is about 62390.3992614248. The cubic root of 3892561920 is about 1573.0595967956.

The spelling of 3892561920 in words is "three billion, eight hundred ninety-two million, five hundred sixty-one thousand, nine hundred twenty".