3074440634496 has 768 divisors, whose sum is σ = 12111593195520. Its totient is φ = 751572172800.

The previous prime is 3074440634467. The next prime is 3074440634519. The reversal of 3074440634496 is 6944360444703.

3074440634496 is a `hidden beast` number, since 3 + 0 + 74 + 440 + 6 + 3 + 44 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 95 ways as a sum of consecutive naturals, for example, 40677381 + ... + 40752891.

It is an arithmetic number, because the mean of its divisors is an integer number (15770303640).

Almost surely, 2^{3074440634496} is an apocalyptic number.

3074440634496 is a gapful number since it is divisible by the number (36) 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 3074440634496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6055796597760).

3074440634496 is an abundant number, since it is smaller than the sum of its proper divisors (9037152561024).

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

3074440634496 is a wasteful number, since it uses less digits than its factorization.

3074440634496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75575 (or 75551 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 54.

The spelling of 3074440634496 in words is "three trillion, seventy-four billion, four hundred forty million, six hundred thirty-four thousand, four hundred ninety-six".