3933480000 has 140 divisors (see below), whose sum is σ = 13005399440. Its totient is φ = 1048896000.

The previous prime is 3933479999. The next prime is 3933480029. The reversal of 3933480000 is 843393.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 3933480000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 103611 + ... + 136389.

Almost surely, 2^3933480000 is an apocalyptic number.

3933480000 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 3933480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6502699720).

3933480000 is an abundant number, since it is smaller than the sum of its proper divisors (9071919440).

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

3933480000 is an equidigital number, since it uses as much as digits as its factorization.

3933480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32814 (or 32789 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 3933480000 is about 62717.4616833303. The cubic root of 3933480000 is about 1578.5523245623.

The spelling of 3933480000 in words is "three billion, nine hundred thirty-three million, four hundred eighty thousand".