3260102400 has 162 divisors, whose sum is σ = 11655807800. Its totient is φ = 869345280.

The previous prime is 3260102389. The next prime is 3260102411. The reversal of 3260102400 is 42010623.

It is a happy number.

3260102400 is a `hidden beast` number, since 3 + 260 + 1 + 0 + 2 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (3260102389) and next prime (3260102411).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 29301 + ... + 85899.

Almost surely, 2^3260102400 is an apocalyptic number.

3260102400 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 3260102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5827903900).

3260102400 is an abundant number, since it is smaller than the sum of its proper divisors (8395705400).

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

3260102400 is a wasteful number, since it uses less digits than its factorization.

3260102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56631 (or 56609 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3260102400 is about 57097.3064163276. The cubic root of 3260102400 is about 1482.7812323414.

The spelling of 3260102400 in words is "three billion, two hundred sixty million, one hundred two thousand, four hundred".