3263976000 has 672 divisors, whose sum is σ = 12807744768. Its totient is φ = 821145600.

The previous prime is 3263975999. The next prime is 3263976031. The reversal of 3263976000 is 6793623.

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 95 ways as a sum of consecutive naturals, for example, 44711964 + ... + 44712036.

It is an arithmetic number, because the mean of its divisors is an integer number (19059144).

Almost surely, 2^3263976000 is an apocalyptic number.

3263976000 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 3263976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6403872384).

3263976000 is an abundant number, since it is smaller than the sum of its proper divisors (9543768768).

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

3263976000 is an equidigital number, since it uses as much as digits as its factorization.

3263976000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 3263976000 is about 57131.2173859441. The cubic root of 3263976000 is about 1483.3682719821.

The spelling of 3263976000 in words is "three billion, two hundred sixty-three million, nine hundred seventy-six thousand".