3327480000 has 700 divisors, whose sum is σ = 13441822240. Its totient is φ = 808704000.

The previous prime is 3327479983. The next prime is 3327480059. The reversal of 3327480000 is 847233.

It is a super-2 number, since 2×3327480000² = 22144246300800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 42119961 + ... + 42120039.

Almost surely, 2^3327480000 is an apocalyptic number.

3327480000 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 3327480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720911120).

3327480000 is an abundant number, since it is smaller than the sum of its proper divisors (10114342240).

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

3327480000 is an equidigital number, since it uses as much as digits as its factorization.

3327480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3327480000 is about 57684.3132922634. The cubic root of 3327480000 is about 1492.9266980274.

The spelling of 3327480000 in words is "three billion, three hundred twenty-seven million, four hundred eighty thousand".