3079749508416 has 672 divisors, whose sum is σ = 10930523996160. Its totient is φ = 846947404800.

The previous prime is 3079749508387. The next prime is 3079749508483. The reversal of 3079749508416 is 6148059479703.

3079749508416 is a `hidden beast` number, since 3 + 0 + 79 + 7 + 49 + 508 + 4 + 16 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 501339841 + ... + 501345983.

Almost surely, 2^{3079749508416} is an apocalyptic number.

3079749508416 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 3079749508416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5465261998080).

3079749508416 is an abundant number, since it is smaller than the sum of its proper divisors (7850774487744).

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

3079749508416 is a wasteful number, since it uses less digits than its factorization.

3079749508416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6400 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3079749508416 in words is "three trillion, seventy-nine billion, seven hundred forty-nine million, five hundred eight thousand, four hundred sixteen".