3268476900 has 576 divisors, whose sum is σ = 12395040000. Its totient is φ = 735920640.

The previous prime is 3268476853. The next prime is 3268476973. The reversal of 3268476900 is 96748623.

3268476900 is a `hidden beast` number, since 32 + 68 + 476 + 90 + 0 = 666.

It is a super-2 number, since 2×3268476900² = 21365882491667220000, which contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 112706086 + ... + 112706114.

Almost surely, 2^3268476900 is an apocalyptic number.

3268476900 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 3268476900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6197520000).

3268476900 is an abundant number, since it is smaller than the sum of its proper divisors (9126563100).

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

3268476900 is a wasteful number, since it uses less digits than its factorization.

3268476900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3268476900 is about 57170.5947144159. The cubic root of 3268476900 is about 1484.0497951435.

The spelling of 3268476900 in words is "three billion, two hundred sixty-eight million, four hundred seventy-six thousand, nine hundred".