3300756480 has 528 divisors, whose sum is σ = 13590769920. Its totient is φ = 752467968.

The previous prime is 3300756461. The next prime is 3300756491. The reversal of 3300756480 is 846570033.

It is a happy number.

3300756480 is a `hidden beast` number, since 3 + 3 + 0 + 0 + 7 + 5 + 648 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 8708931 + ... + 8709309.

Almost surely, 2^3300756480 is an apocalyptic number.

3300756480 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 3300756480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6795384960).

3300756480 is an abundant number, since it is smaller than the sum of its proper divisors (10290013440).

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

3300756480 is an equidigital number, since it uses as much as digits as its factorization.

3300756480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 3300756480 is about 57452.2104013414. The cubic root of 3300756480 is about 1488.9193070525.

The spelling of 3300756480 in words is "three billion, three hundred million, seven hundred fifty-six thousand, four hundred eighty".