3464260800 has 1008 divisors, whose sum is σ = 15683496192. Its totient is φ = 658022400.

The previous prime is 3464260769. The next prime is 3464260829. The reversal of 3464260800 is 80624643.

3464260800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3464260800² = 24002205780833280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33633549 + ... + 33633651.

It is an arithmetic number, because the mean of its divisors is an integer number (15559024).

Almost surely, 2^3464260800 is an apocalyptic number.

3464260800 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 3464260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7841748096).

3464260800 is an abundant number, since it is smaller than the sum of its proper divisors (12219235392).

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

3464260800 is a wasteful number, since it uses less digits than its factorization.

3464260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 3464260800 is about 58857.9714227393. The cubic root of 3464260800 is about 1513.1089258656.

It can be divided in two parts, 3 and 464260800, that multiplied together give a square (1392782400 = 37320²).

The spelling of 3464260800 in words is "three billion, four hundred sixty-four million, two hundred sixty thousand, eight hundred".