3023264400 has 120 divisors (see below), whose sum is σ = 10429540800. Its totient is φ = 744184320.

The previous prime is 3023264393. The next prime is 3023264443. The reversal of 3023264400 is 44623203.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×3023264400³ (a number of 29 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81300 + ... + 112499.

It is an arithmetic number, because the mean of its divisors is an integer number (86912840).

Almost surely, 2^3023264400 is an apocalyptic number.

3023264400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3023264400 is an abundant number, since it is smaller than the sum of its proper divisors (7406276400).

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

3023264400 is a wasteful number, since it uses less digits than its factorization.

3023264400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193833 (or 193822 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 3023264400 is about 54984.2195543412. The cubic root of 3023264400 is about 1445.9680936623.

Adding to 3023264400 its reverse (44623203), we get a palindrome (3067887603).

The spelling of 3023264400 in words is "three billion, twenty-three million, two hundred sixty-four thousand, four hundred".