3267416880 has 480 divisors, whose sum is σ = 14013103104. Its totient is φ = 689015808.

The previous prime is 3267416851. The next prime is 3267416897. The reversal of 3267416880 is 886147623.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 1768117 + ... + 1769963.

Almost surely, 2^3267416880 is an apocalyptic number.

3267416880 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 3267416880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7006551552).

3267416880 is an abundant number, since it is smaller than the sum of its proper divisors (10745686224).

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

3267416880 is a wasteful number, since it uses less digits than its factorization.

3267416880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1895 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 3267416880 is about 57161.3232876917. The cubic root of 3267416880 is about 1483.8893440011.

The spelling of 3267416880 in words is "three billion, two hundred sixty-seven million, four hundred sixteen thousand, eight hundred eighty".