3072326400 has 648 divisors, whose sum is σ = 12939182256. Its totient is φ = 685670400.

The previous prime is 3072326371. The next prime is 3072326401. The reversal of 3072326400 is 46232703.

It is not an unprimeable number, because it can be changed into a prime (3072326401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8236614 + ... + 8236986.

Almost surely, 2^3072326400 is an apocalyptic number.

3072326400 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 3072326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6469591128).

3072326400 is an abundant number, since it is smaller than the sum of its proper divisors (9866855856).

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

3072326400 is a wasteful number, since it uses less digits than its factorization.

3072326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3072326400 is about 55428.5702503682. The cubic root of 3072326400 is about 1453.7479575259.

The spelling of 3072326400 in words is "three billion, seventy-two million, three hundred twenty-six thousand, four hundred".