3429095747616 has 384 divisors, whose sum is σ = 12560490270720. Its totient is φ = 884170598400.

The previous prime is 3429095747611. The next prime is 3429095747653. The reversal of 3429095747616 is 6167475909243.

3429095747616 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 0 + 9 + 5 + 7 + 4 + 7 + 616 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3429095747611) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8926221 + ... + 9302451.

It is an arithmetic number, because the mean of its divisors is an integer number (32709610080).

Almost surely, 2^{3429095747616} is an apocalyptic number.

3429095747616 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 3429095747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6280245135360).

3429095747616 is an abundant number, since it is smaller than the sum of its proper divisors (9131394523104).

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

3429095747616 is a wasteful number, since it uses less digits than its factorization.

3429095747616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376405 (or 376391 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 3429095747616 in words is "three trillion, four hundred twenty-nine billion, ninety-five million, seven hundred forty-seven thousand, six hundred sixteen".