3863724480 has 1008 divisors, whose sum is σ = 17887858560. Its totient is φ = 754790400.

The previous prime is 3863724457. The next prime is 3863724493. The reversal of 3863724480 is 844273683.

3863724480 is a `hidden beast` number, since 3 + 8 + 637 + 2 + 4 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29494015 + ... + 29494145.

Almost surely, 2^3863724480 is an apocalyptic number.

3863724480 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 3863724480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8943929280).

3863724480 is an abundant number, since it is smaller than the sum of its proper divisors (14024134080).

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

3863724480 is a wasteful number, since it uses less digits than its factorization.

3863724480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 178 counting only the distinct ones).

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

The square root of 3863724480 is about 62158.8648545000. The cubic root of 3863724480 is about 1569.1653751473.

The spelling of 3863724480 in words is "three billion, eight hundred sixty-three million, seven hundred twenty-four thousand, four hundred eighty".