3045740400 has 480 divisors, whose sum is σ = 11732195520. Its totient is φ = 747601920.

The previous prime is 3045740377. The next prime is 3045740429. The reversal of 3045740400 is 40475403.

3045740400 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9730644 + ... + 9730956.

It is an arithmetic number, because the mean of its divisors is an integer number (24442074).

Almost surely, 2^3045740400 is an apocalyptic number.

3045740400 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 3045740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5866097760).

3045740400 is an abundant number, since it is smaller than the sum of its proper divisors (8686455120).

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

3045740400 is a wasteful number, since it uses less digits than its factorization.

3045740400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 3045740400 is about 55188.2270054040. The cubic root of 3045740400 is about 1449.5425271061.

The spelling of 3045740400 in words is "three billion, forty-five million, seven hundred forty thousand, four hundred".