3007040400 has 720 divisors, whose sum is σ = 13130242944. Its totient is φ = 620421120.

The previous prime is 3007040321. The next prime is 3007040429. The reversal of 3007040400 is 40407003.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21949132 + ... + 21949268.

Almost surely, 2^3007040400 is an apocalyptic number.

3007040400 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 3007040400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6565121472).

3007040400 is an abundant number, since it is smaller than the sum of its proper divisors (10123202544).

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

3007040400 is a wasteful number, since it uses less digits than its factorization.

3007040400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 3007040400 is about 54836.4878525239. The cubic root of 3007040400 is about 1443.3769126483.

Adding to 3007040400 its reverse (40407003), we get a palindrome (3047447403).

The spelling of 3007040400 in words is "three billion, seven million, forty thousand, four hundred".