3803532480 has 672 divisors, whose sum is σ = 15405811200. Its totient is φ = 851558400.

The previous prime is 3803532457. The next prime is 3803532503. The reversal of 3803532480 is 842353083.

3803532480 is a `hidden beast` number, since 3 + 80 + 3 + 532 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3803532457) and next prime (3803532503).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 42736276 + ... + 42736364.

Almost surely, 2^3803532480 is an apocalyptic number.

3803532480 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 3803532480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7702905600).

3803532480 is an abundant number, since it is smaller than the sum of its proper divisors (11602278720).

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

3803532480 is a wasteful number, since it uses less digits than its factorization.

3803532480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 3803532480 is about 61672.7855702983. The cubic root of 3803532480 is about 1560.9741450183.

The spelling of 3803532480 in words is "three billion, eight hundred three million, five hundred thirty-two thousand, four hundred eighty".