3073480347600 has 360 divisors, whose sum is σ = 11648070225792. Its totient is φ = 745892582400.

The previous prime is 3073480347599. The next prime is 3073480347611. The reversal of 3073480347600 is 67430843703.

3073480347600 is a `hidden beast` number, since 3 + 0 + 7 + 3 + 4 + 8 + 0 + 34 + 7 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2860317 + ... + 3785283.

Almost surely, 2^{3073480347600} is an apocalyptic number.

3073480347600 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 3073480347600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824035112896).

3073480347600 is an abundant number, since it is smaller than the sum of its proper divisors (8574589878192).

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

3073480347600 is a wasteful number, since it uses less digits than its factorization.

3073480347600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925075 (or 925061 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 3073480347600 in words is "three trillion, seventy-three billion, four hundred eighty million, three hundred forty-seven thousand, six hundred".