3429600049728 has 224 divisors, whose sum is σ = 10362531878400. Its totient is φ = 1111745875968.

The previous prime is 3429600049709. The next prime is 3429600049781. The reversal of 3429600049728 is 8279400069243.

3429600049728 is a `hidden beast` number, since 3 + 4 + 2 + 9 + 600 + 0 + 4 + 9 + 7 + 28 = 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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12616428 + ... + 12885396.

Almost surely, 2^{3429600049728} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3429600049728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5181265939200).

3429600049728 is an abundant number, since it is smaller than the sum of its proper divisors (6932931828672).

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

3429600049728 is a wasteful number, since it uses less digits than its factorization.

3429600049728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269194 (or 269178 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 3429600049728 in words is "three trillion, four hundred twenty-nine billion, six hundred million, forty-nine thousand, seven hundred twenty-eight".