3954769920 has 340 divisors, whose sum is σ = 14273631900. Its totient is φ = 1047527424.

The previous prime is 3954769829. The next prime is 3954769957. The reversal of 3954769920 is 299674593.

3954769920 is a `hidden beast` number, since 3 + 9 + 547 + 6 + 9 + 92 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 897122304 + 3057647616 = 29952^2 + 55296^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 26542006 + ... + 26542154.

Almost surely, 2^3954769920 is an apocalyptic number.

3954769920 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 3954769920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7136815950).

3954769920 is an abundant number, since it is smaller than the sum of its proper divisors (10318861980).

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

3954769920 is an frugal number, since it uses more digits than its factorization.

3954769920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The square root of 3954769920 is about 62886.9614467101. The cubic root of 3954769920 is about 1581.3951678292.

The spelling of 3954769920 in words is "three billion, nine hundred fifty-four million, seven hundred sixty-nine thousand, nine hundred twenty".