3782436480 has 512 divisors, whose sum is σ = 14476492800. Its totient is φ = 930631680.

The previous prime is 3782436451. The next prime is 3782436521. The reversal of 3782436480 is 846342873.

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 63 ways as a sum of consecutive naturals, for example, 12320487 + ... + 12320793.

It is an arithmetic number, because the mean of its divisors is an integer number (28274400).

Almost surely, 2^3782436480 is an apocalyptic number.

3782436480 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 3782436480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7238246400).

3782436480 is an abundant number, since it is smaller than the sum of its proper divisors (10694056320).

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

3782436480 is a wasteful number, since it uses less digits than its factorization.

3782436480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 3782436480 is about 61501.5160788740. The cubic root of 3782436480 is about 1558.0828520039.

The spelling of 3782436480 in words is "three billion, seven hundred eighty-two million, four hundred thirty-six thousand, four hundred eighty".