3040934400 has 600 divisors, whose sum is σ = 12893237280. Its totient is φ = 693411840.

The previous prime is 3040934389. The next prime is 3040934419. The reversal of 3040934400 is 44390403.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7257391 + ... + 7257809.

Almost surely, 2^3040934400 is an apocalyptic number.

3040934400 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 3040934400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6446618640).

3040934400 is an abundant number, since it is smaller than the sum of its proper divisors (9852302880).

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

3040934400 is an equidigital number, since it uses as much as digits as its factorization.

3040934400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 3040934400 is about 55144.6679199358. The cubic root of 3040934400 is about 1448.7796946549.

The spelling of 3040934400 in words is "three billion, forty million, nine hundred thirty-four thousand, four hundred".