3261305400 has 192 divisors, whose sum is σ = 10595988480. Its totient is φ = 828748800.

The previous prime is 3261305351. The next prime is 3261305429. The reversal of 3261305400 is 45031623.

It is a happy number.

It is a super-2 number, since 2×3261305400² = 21272225824138320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1244892 + ... + 1247508.

It is an arithmetic number, because the mean of its divisors is an integer number (55187440).

Almost surely, 2^3261305400 is an apocalyptic number.

3261305400 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 3261305400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5297994240).

3261305400 is an abundant number, since it is smaller than the sum of its proper divisors (7334683080).

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

3261305400 is a wasteful number, since it uses less digits than its factorization.

3261305400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2734 (or 2725 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 3261305400 is about 57107.8400922325. The cubic root of 3261305400 is about 1482.9635953716.

The spelling of 3261305400 in words is "three billion, two hundred sixty-one million, three hundred five thousand, four hundred".