3813396480 has 312 divisors, whose sum is σ = 14007199752. Its totient is φ = 956301312.

The previous prime is 3813396469. The next prime is 3813396487. The reversal of 3813396480 is 846933183.

3813396480 is a `hidden beast` number, since 3 + 81 + 3 + 3 + 96 + 480 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 539725824 + 3273670656 = 23232^2 + 57216^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3813396487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3132832 + ... + 3134048.

It is an arithmetic number, because the mean of its divisors is an integer number (44894871).

Almost surely, 2^3813396480 is an apocalyptic number.

3813396480 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 3813396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7003599876).

3813396480 is an abundant number, since it is smaller than the sum of its proper divisors (10193803272).

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

3813396480 is a wasteful number, since it uses less digits than its factorization.

3813396480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1244 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 3813396480 is about 61752.7042322844. The cubic root of 3813396480 is about 1562.3223792120.

The spelling of 3813396480 in words is "three billion, eight hundred thirteen million, three hundred ninety-six thousand, four hundred eighty".