3993678480 has 160 divisors (see below), whose sum is σ = 13564096128. Its totient is φ = 963993600.

The previous prime is 3993678467. The next prime is 3993678511. The reversal of 3993678480 is 848763993.

It is a happy number.

It is a super-2 number, since 2×3993678480² = 31898935603230220800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3993678480.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633102 + ... + 639378.

Almost surely, 2^3993678480 is an apocalyptic number.

3993678480 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 3993678480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6782048064).

3993678480 is an abundant number, since it is smaller than the sum of its proper divisors (9570417648).

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

3993678480 is a wasteful number, since it uses less digits than its factorization.

3993678480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6545 (or 6539 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 57.

The square root of 3993678480 is about 63195.5574387947. The cubic root of 3993678480 is about 1586.5643787679.

The spelling of 3993678480 in words is "three billion, nine hundred ninety-three million, six hundred seventy-eight thousand, four hundred eighty".