3920654400 has 336 divisors, whose sum is σ = 14037893184. Its totient is φ = 952197120.

The previous prime is 3920654321. The next prime is 3920654401. The reversal of 3920654400 is 44560293.

It is not an unprimeable number, because it can be changed into a prime (3920654401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5178822 + ... + 5179578.

It is an arithmetic number, because the mean of its divisors is an integer number (41779444).

Almost surely, 2^3920654400 is an apocalyptic number.

3920654400 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 3920654400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7018946592).

3920654400 is an abundant number, since it is smaller than the sum of its proper divisors (10117238784).

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

3920654400 is a wasteful number, since it uses less digits than its factorization.

3920654400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 878 (or 863 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3920654400 is about 62615.1291622081. The cubic root of 3920654400 is about 1576.8347678121.

The spelling of 3920654400 in words is "three billion, nine hundred twenty million, six hundred fifty-four thousand, four hundred".