3078374400 has 396 divisors, whose sum is σ = 11403984384. Its totient is φ = 792576000.

The previous prime is 3078374323. The next prime is 3078374417. The reversal of 3078374400 is 44738703.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7142185 + ... + 7142615.

Almost surely, 2^3078374400 is an apocalyptic number.

3078374400 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 3078374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5701992192).

3078374400 is an abundant number, since it is smaller than the sum of its proper divisors (8325609984).

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

3078374400 is a wasteful number, since it uses less digits than its factorization.

3078374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 472 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 3078374400 is about 55483.1001296791. The cubic root of 3078374400 is about 1454.7012530086.

The spelling of 3078374400 in words is "three billion, seventy-eight million, three hundred seventy-four thousand, four hundred".